Mathematics is a way of thinking and interacting that is older than any country in the world, yet still finds its way into the everyday processes of modern life. Nationally acclaimed astrophysicist, Neil deGrasse Tyson once said, “Math is not the calculation of things. It’s about understanding the operations of nature at their deepest level. Mathematics students seek to grab hold of this understanding.
Allan Hancock College’s mathematics program is focused on building knowledge and understanding of the world via the language of math. Students will explore applications, develop their vocabulary, and expand their potential for processing and communicating. Mathematicians are essential in financial planning, software development, economics, engineering, data science, market research analysis, insurance, and many other fields. Mathematics can also be used as a foundation for studying the sciences.
If you are looking for a path that builds knowledge and possibilities, look no further. A mathematics degree for transfer is a boost to a bigger, broader, and better future.
Know math, know the odds... and then change them for yourself.
This program will help you to:
- utilize a broad range of problem-solving techniques and strategies
- identify, analyze, and solve problems pertaining to the world around them
- represent mathematical information symbolically, graphically, numerically, and in writing, so that they may communicate effectively
- interpret and draw inferences from mathematical models such as formulas, graphs, and tables
- create and analyze mathematical models of real world and/or theoretical situations
- Use appropriate technologies to analyze and solve mathematical problems
- become a more effective and efficient problem solver
Suggested Course Sequence
The “Suggested Course Sequence” is an example of how to complete the requirements plus any additional general education that may be needed. If you would like to create a personalized Student Education Plan (SEP), schedule a meeting with a counselor.
This suggested plan assumes a student is eligible for MATH 181.
Fall Semester (Year 1)
Course #
Course Title
Units
Prerequisite: Placement based upon Allan Hancock College's placement policy.
Designed to help students enhance their analytical reading and writing skills using a wide variety of texts. Emphasizes college-level expository essay construction, communication, and research methods leading to the preparation and writing of a research paper.
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.
Intended for students pursuing majors in a STEM discipline. Introduces students to related career choices, academic planning, and college resources. Develops appropriate skills necessary for academic success in a STEM major.
Select one course from area C1: Arts or from area C2: Humanities
Total Units:
12
Spring Semester (Year 1)
Course #
Course Title
Units
Prerequisite: MATH 181
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.
Select one course from this list.
If you did not satisfy this requirement with high school coursework or an external exam, complete one of the courses from this list. If you are unsure if you have met this requirement, see a counselor.
- ES 120: Chicano History
- ES 121: African American History
- HIST 120: Chicano History
- HIST 121: African American History
NOTE: Students who started at Allan Hancock College (or any CCC or CSU) prior to Summer 2021 and have maintained continuous enrollment are not required to complete Area F for CSU GE Certification. See a counselor for further information.
Total Units:
13+
Summer Semester (Year 2)
Course #
Course Title
Units
Choose one of the following courses:
- ENGL 103, Critical Thinking and Composition
- PHIL 112, Logic
- PHIL 114, Critical Thinking
- SPCH 106, Argumentation and Debate
Select one course from this list.
Total Units:
6
Fall Semester (Year 2)
Course #
Course Title
Units
Prerequisite: MATH 182
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.
Choose one of the following courses:
- SPCH 101, Public Speaking,
- SPCH 102, Small Group Communication,
- SPCH 106, Argumentation and Debate,
Select one course from this list.
Select one course from this list.
Total Units:
13
Spring Semester (Year 2)
Course #
Course Title
Units
Prerequisite: MATH 182
First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
Select one course from this list.
Recommended one from this list:
- POLS 101, Introduction to Political Science
- POLS 103, American Government
Or choose a course from this list.
Note: Recommended courses also fulfill CSU US History and American Institutions Graduation Requirement
Recommended one from this list:
- ES 121, African American History
- HIST 107, US History to 1877
- HIST 108, US History from 1877 to the Present
- HIST 118, U S History American Institutions Requirement
Or choose a course from this list.
Note: Recommended courses also fulfill CSU US History and American Institutions Graduation Requirement
Total Units:
14+
Program Requirements:
"Program Requirements" specify the courses required for this program. See suggested course sequence for additional information.
A major of 20-21 units is required for the degree.
Required core courses (17 units)
Course Number | Course Title | Units |
---|---|---|
MATH 181 | Calculus 1 | 4 |
MATH 182 | Calculus 2 | 4 |
MATH 183 | Multivariable Calculus | 4 |
MATH 184 | Linear Algebra/Differential Equations | 5 |
Select any course from the following (3-4 units)
Course Number | Course Title | Units |
---|---|---|
CS 111 | Fundamentals of Programming 1 | 4 |
CS 161 | Discrete Structures | 3 |
MATH 123 | Elementary Statistics | 4 |
PHYS 161 | Engineering Physics 1 | 4 |
General Education
Suggested Course Sequence
The “Suggested Course Sequence” is an example of how to complete the requirements plus any additional general education that may be needed. If you would like to create a personalized Student Education Plan (SEP), schedule a meeting with a counselor.
This suggested plan assumes a student is eligible for MATH 181.
Fall Semester (Year 1)
Course #
Course Title
Units
Prerequisite: Placement based upon Allan Hancock College's placement policy.
Designed to help students enhance their analytical reading and writing skills using a wide variety of texts. Emphasizes college-level expository essay construction, communication, and research methods leading to the preparation and writing of a research paper.
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.
Intended for students pursuing majors in a STEM discipline. Introduces students to related career choices, academic planning, and college resources. Develops appropriate skills necessary for academic success in a STEM major.
Select one course from area Area 3A: Arts or from area Area 3B: Humanities
Total Units:
12
Spring Semester (Year 1)
Course #
Course Title
Units
Prerequisite: MATH 181
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.
Select one course from this list.
If you are planning to transfer to a CSU campus, it is recommended that you take one U.S. History course (HIST 107, 108 or 118) AND one American Institutions (POLS 101 or 103) course. If not, select one course from this list.
Total Units:
13+
Summer Semester (Year 2)
Course #
Course Title
Units
Choose one of the following courses:
- ENGL 103, Critical Thinking and Composition
- PHIL 114, Critical Thinking
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
6
Fall Semester (Year 2)
Course #
Course Title
Units
Prerequisite: MATH 182
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.
Choose one of the following courses:
- SPCH 101, Public Speaking
- SPCH 102, Small Group Communication
- SPCH 106, Argumentation and Debate
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Select one course from this list.
If you did not satisfy this requirement with high school coursework or an external exam, complete one of the courses from this list. If you are unsure if you have met this requirement, see a counselor.
- ES 120: Chicano History
- ES 121: African American History
- HIST 120: Chicano History
- HIST 121: African American History
Select one course from this list.
Total Units:
13
Spring Semester (Year 2)
Course #
Course Title
Units
Prerequisite: MATH 182
First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
Select one course from this list.
If you are planning to transfer to a CSU campus, it is recommended that you take one U.S. History course (HIST 107, 108 or 118) AND one American Institutions (POLS 101 or 103) course. If not, select one course from this list.
Total Units:
14+
A major of 20-21 units is required for the degree.
Required core courses (17 units)
Course Number | Course Title | Units |
---|---|---|
MATH 181 | Calculus 1 | 4 |
MATH 182 | Calculus 2 | 4 |
MATH 183 | Multivariable Calculus | 4 |
MATH 184 | Linear Algebra/Differential Equations | 5 |
Select any course from the following (3-4 units)
Course Number | Course Title | Units |
---|---|---|
CS 111 | Fundamentals of Programming 1 | 4 |
CS 161 | Discrete Structures | 3 |
MATH 123 | Elementary Statistics | 4 |
PHYS 161 | Engineering Physics 1 | 4 |
General Education
Suggested Course Sequence
The "Suggested Course Sequence" is an example of how to complete the requirements plus any additional general education that may be needed. If you would like to create a personalized Student Education Plan (SEP), schedule a meeting with a counselor.
This suggested plan assumes a student is eligible for MATH 181 and PHYS 161.
Fall Semester (Year 1)
Course #
Course Title
Units
Basic principles of algorithmic problem solving and programming using methods of top-down design, stepwise refinement and procedural abstraction. Basic control structures, data types, and input/output. Introduction to the software development process: design, implementation, testing and documentation. The syntax and semantics of a modern programming language.
Prerequisite: Placement based upon Allan Hancock College's placement policy.
Designed to help students enhance their analytical reading and writing skills using a wide variety of texts. Emphasizes college-level expository essay construction, communication, and research methods leading to the preparation and writing of a research paper.
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.
Intended for students pursuing majors in a STEM discipline. Introduces students to related career choices, academic planning, and college resources. Develops appropriate skills necessary for academic success in a STEM major.
Total Units:
13
Spring Semester (Year 1)
Course #
Course Title
Units
Prerequisite: MATH 181
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.
The initial semester of a three-semester course in calculus-based physics which emphasizes the origin, nature and application of fundamental concepts and principles. Required for most baccalaureate majors in the physical sciences, engineering and mathematics. Emphasizes mechanics, including measurement, linear and planar motion, statics and dynamics of particles and systems of particles, rigid, elastic and fluid systems.
Choose one of the following courses:
- ES 1231, African American History
- HIST 107, U S History to 1877
- HIST 108, US History from 1877 to the Present
- HIST 118, U S History to 1877
- HIST 119, History of California
- POLS 101, Introduction to Political Science
- POLS 103, American Government
Select one course from this list.
Total Units:
14
Summer Semester (Year 2)
Course #
Course Title
Units
Select one course from this list.
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
4+
Fall Semester (Year 2)
Course #
Course Title
Units
Prerequisite: MATH 182
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.
A continuation of PHYS 161 which discusses electrostatic forces, fields and potentials, steady electric currents and circuits, magnetic forces and fields, induced electric and magnetic fields, electric and magnetic properties of continuous media, reactive circuits, and electromagnetic waves.
If you take any of the following courses, you will also satisfy the Multicultural/Gender Studies requirement:
ART 101, 105, 109, 170; DANC 101p; DRMA 103; ENGL 130, 131, 139, 140, 148; ECS 116; ES 105, 120; FASH 104; FILM 101, 102, 103, 108, 109; HIST 101, 102, 103, 120; HUM 101, 102, 103; MUS 104, 106; PHIL 121; SPAN 102, 103, 104, 105, 112
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
14+
Spring Semester (Year 2)
Course #
Course Title
Units
Prerequisite: MATH 182
First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
Select one course from this list.
If you take any of the following courses, you will also satisfy the Multicultural/Gender Studies requirement:
ANTH 102, 103, 105; BUS 141; ECON 141; ENGL 105; GBST 141; GEOG 102, 103; LGBT 101, 102; POLS 104, 105; SOC 101, 102, 120, 122; SPCH 110
Or select one course from this list.
Select one course from this list.
Designed to help students assess their health status and use those assessments to change the behaviors that contribute to an unhealthy lifestyle. Students are provided with a broad foundation of knowledge dealing with mental health, stress management, fitness, diet and weight control, prevention and control of communicable and non-communicable diseases, drugs and alcohol, first aid, cancer prevention and control, and the scope of community health services.
Total Units:
14+
Program Requirements:
"Program Requirements" specify the courses required for this program. See suggested course sequence for additional information.
A major of 25 units is required for the associate in arts degree. Required core courses (21 units):
Course Number | Course Title | Units |
---|---|---|
MATH 181 | Calculus 1 | 4 |
MATH 182 | Calculus 2 | 4 |
MATH 183 | Multivariable Calculus | 4 |
MATH 184 | Linear Algebra/Differential Equations | 5 |
PHYS 161 | Engineering Physics 1 | 4 |
Plus 4 units selected from the following:
Course Number | Course Title | Units |
---|---|---|
PHYS 162 | Engineering Physics 2 | 4 |
PHYS 163 | Engineering Physics 3 | 4 |
Suggested Course Sequence
The "Suggested Course Sequence" is an example of how to complete the requirements plus any additional general education that may be needed. If you would like to create a personalized Student Education Plan (SEP), schedule a meeting with a counselor.
This suggested plan assumes a student is eligible for MATH 181.
Fall Semester (Year 1)
Course #
Course Title
Units
Basic principles of algorithmic problem solving and programming using methods of top-down design, stepwise refinement and procedural abstraction. Basic control structures, data types, and input/output. Introduction to the software development process: design, implementation, testing and documentation. The syntax and semantics of a modern programming language.
Prerequisite: Placement based upon Allan Hancock College's placement policy.
Designed to help students enhance their analytical reading and writing skills using a wide variety of texts. Emphasizes college-level expository essay construction, communication, and research methods leading to the preparation and writing of a research paper.
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.
Intended for students pursuing majors in a STEM discipline. Introduces students to related career choices, academic planning, and college resources. Develops appropriate skills necessary for academic success in a STEM major.
Total Units:
13
Spring Semester (Year 1)
Course #
Course Title
Units
Prerequisite: CS 111
An introduction to the discrete structures of computing, including propositional and predicate logic, methods of proof, functions, computer arithmetic, algorithm complexity, recursion, graphs, trees, sets and relations, networks, induction, and combinatorics.
Prerequisite: MATH 181
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.
Choose one of the following courses:
- ES 1231, African American History
- HIST 107, U S History to 1877
- HIST 108, US History from 1877 to the Present
- HIST 118, U S History to 1877
- HIST 119, History of California
- POLS 101, Introduction to Political Science
- POLS 103, American Government
Designed to help students assess their health status and use those assessments to change the behaviors that contribute to an unhealthy lifestyle. Students are provided with a broad foundation of knowledge dealing with mental health, stress management, fitness, diet and weight control, prevention and control of communicable and non-communicable diseases, drugs and alcohol, first aid, cancer prevention and control, and the scope of community health services.
Total Units:
13
Summer Semester (Year 2)
Course #
Course Title
Units
Select one course from this list.
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
4+
Fall Semester (Year 2)
Course #
Course Title
Units
Prerequisite: MATH 182
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.
If you take any of the following courses, you will also satisfy the Multicultural/Gender Studies requirement:
ART 101, 105, 109, 170; DANC 101p; DRMA 103; ENGL 130, 131, 139, 140, 148; ECS 116; ES 105, 120; FASH 104; FILM 101, 102, 103, 108, 109; HIST 101, 102, 103, 120; HUM 101, 102, 103; MUS 104, 106; PHIL 121; SPAN 102, 103, 104, 105, 112
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Select one course from this list.
Total Units:
14+
Spring Semester (Year 2)
Course #
Course Title
Units
Prerequisite: MATH 182
First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
Select one course from this list.
If you take any of the following courses, you will also satisfy the Multicultural/Gender Studies requirement:
ANTH 102, 103, 105; BUS 141; ECON 141; ENGL 105; GBST 141; GEOG 102, 103; LGBT 101, 102; POLS 104, 105; SOC 101, 102, 120, 122; SPCH 110
Or select one course from this list.
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
14+
Program Requirements:
"Program Requirements" specify the courses required for this program. See suggested course sequence for additional information.
A major of 24 units is required for the associate in arts degree. Required core courses (24 units):
Course Number | Course Title | Units |
---|---|---|
CS 111 | Fundamentals of Programming 1 | 4 |
CS 161 | Discrete Structures | 3 |
MATH 181 | Calculus 1 | 4 |
MATH 182 | Calculus 2 | 4 |
MATH 183 | Multivariable Calculus | 4 |
MATH 184 | Linear Algebra/Differential Equations | 5 |
Programs you may also be interested in exploring:
Resources
Math Center
The Math Center is a noncredit, Community Education class which provides assistance in mathematics as a completely free service. Current Allan Hancock College students as well as other individuals who are 18 years or older may register for the Math Center each semester and attend as frequently as they want.
Visit the Math Center Website to see tutoring and instruction schedules, mathematics resources, and helpful handouts.
Building M, Room 101
Santa Maria Campus
805-922-6966 ext. 3463
Contact Information
Department Chair
Dom Dal Bello
805-922-6966 ext. 3498
ddalbello@hancockcollege.edu
Administrative Assistant
Lori Coulter
805-922-6966 ext. 3201
lcoulter@hancockcollege.edu
Dean, Academic Affairs
Sean Abel
805-922-6966 ext. 3537
sean.abel@hancockcollege.edu
LOCATION
Santa Maria Campus
Bldg. M, Rm. 309
805-922-6966 ext. 3201