# Monterey Peninsula College

Home Menu# Courses Offered

*For math classes, a minimum grade of “C” is required in the prerequisite course. It is strongly recommended that the prerequisite course be completed within the last two years. For mathematics prerequisite challenge information, please contact the Physical Science division office at (831) 646-4140.*

**Click here for a flowchart of the course offered at MPC**

* *

## Course Descriptions

**MATH 10 MATHEMATICS FOR GENERAL EDUCATION**

3 units • LG • Four hours lecture

This course offers a historical study of elementary mathematics and discussion of philosophic differences of ancient and modern mathematics. Topics from modern mathematics, such as set theory, symbolic logic, modular systems and the axioms of various number systems are covered.

MATH 12 NUMBER SYSTEMS

3 units • LG-P/NP • Four hours lecture

This course focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real number systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning.

MATH 13 PRE-CALCULUS

5 units • LG • Five hours lecture

This course reviews polynomial, exponential, and logarithmic functions; trigonometric functions; theory of equations; binomial theorem; conic sections; inverse functions; and trigonometric equations. Additional topics from coordinate geometry and DeMoivre’s Theorem are covered.

MATH 16 ELEMENTARY STATISTICS

3 units • LG-P/NP • Four hours lecture

This course covers elementary probability, descriptive measures, measures of central tendency, dispersion and correlation, statistical inference, tests of hypotheses using z, t, chi-square and F distributions. Examples are drawn from applications in the social sciences, biological sciences, and business. This course includes a computer component. Calculations are done with the aid of a desktop computer or with a handheld computer/calculator having built-in functions. Also offered online.

MATH 17 FINITE MATHEMATICS

3 units • LG • Four hours lecture

This course is suitable for students of mathematics, philosophy, biological and behavioral sciences, business and economics. Topics include selections from symbolic logic, sets, linear programming, probability theory, statistics, and game theory, with selected applications from business, social sciences, biological science, and behavioral science.

MATH 18 CALCULUS AND ANALYTIC GEOMETRY FOR BIOLOGY/SOCIAL SCIENCE/BUSINESS

4 units • LG • Five hours lecture

This course covers polynomials, rational, exponential, and logarithmic functions; graphs, limits, derivatives, differentiation techniques, and applications of the derivative; integration and applications of the integral; functions of several variables; and partial derivatives. The course is designed for students in biology, social sciences, business, and management. This course is not a substitute for MATH 20A.

MATH 20A CALCULUS WITH ANALYTIC GEOMETRY I

5 units • LG • Five hours lecture

A first course in differential and integral calculus of a single variable: functions; limits and continuity; techniques and applications of differentiation and integration; Fundamental Theorem of Calculus. Primarily for science, technology, engineering and math majors.

MATH 20B CALCULUS WITH ANALYTIC GEOMETRY II

5 units • LG • Five hours lecture

A second course in differential and integral calculus of a single variable: Integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration. Primarily for science, technology, engineering and math majors.

MATH 20C CALCULUS OF SEVERAL VARIABLES

5 units • LG • Five hours lecture

This course covers vector-valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stokes’ Theorem, divergence theorem.

MATH 31 LINEAR ALGEBRA

4 units • LG • Four hours lecture

This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included.

MATH 32 DIFFERENTIAL EQUATIONS

4 units • LG • Four hours lecture

The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. Introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, and singular points, Laplace transforms and linear systems.

MATH 40 DISCRETE MATHEMATICS

3 units • LG • Four hours lecture

In this course students are introduced to discrete mathematical systems. Topics include logic, recursion, induction; sets, equivalence and order relations, functions; introduction to trees, graph theory, proofs, circuit minimization techniques, network models, combinatorics, complexity; algebraic structures; coding machines.

MATH 113 PREPARATION FOR CALCULUS I

1 unit • P/NP • One hour lecture

This course is designed for students who have taken a precalculus level course and want to improve their understanding of the topics covered in that course. This course prepares students for calculus by providing a personalized online review of the prerequisite topics. Offered online.

MATH 261 BEGINNING ALGEBRA

4 units • LG • Five hours lecture

This course includes an introduction to basic algebraic principles, simple linear equations, positive and negative numbers, and the four basic arithmetic operations using monomials and polynomials, literal equations, reading and constructing graphs, systems of linear equations, and applications of principles to verbal problems, factoring, fractions and equations containing fractions, square roots and radicals, quadratic equations, and ratios and proportion. Also offered online.

MATH 262 PLANE GEOMETRY

3 units • LG • Four hours lecture

This course covers basic facts of plane geometry and formal proofs. It includes congruent triangles, parallel lines, parallelograms, areas, ratio and proportion, similarity, circles, inequalities, loci, and regular polygons.

MATH 263 INTERMEDIATE ALGEBRA AND COORDINATE GEOMETRY

4 units • LG • Five hours lecture

This course covers properties of real numbers, complex numbers, polynomials, exponential and logarithmic functions, first- and second degree equations and inequalities, systems of equations, progressions, graphs of conics, determinants, and an introduction to coordinate geometry. Also offered online.

MATH 271 PREPARATION FOR INTERMEDIATE ALGEBRA

1 unit • P/NP • One hour lecture

This course is designed for students who have taken an elementary algebra-level course and want to improve their understanding of the topics covered in that course. This course prepares students for intermediate algebra by providing a personalized online review of the prerequisite topics. Offered online.

MATH 273 PREPARATION FOR PRECALCULUS

1 unit • P/NP • One hour lecture

This course is designed for students who have taken an intermediate algebra-level course and want to improve their understanding of the topics covered in that course. This course prepares students for precalculus by providing a personalized online review of the prerequisite topics. Offered online.

MATH 351 PRE-ALGEBRA

5 units • P/NP • Five hours lecture

This course is a review of basic arithmetic operations, plus an introduction to elementary topics in algebra.

MATH 360 ARITHMETIC AND BASIC MATHEMATICS

3 units • P/NP • Five hours lecture

This course is designed for students who require review and reinforcement in the arithmetic of numbers. Includes the arithmetic of whole numbers, fractions, decimal numbers, basic measurements and percentage.

MATH 381 PREPARATION FOR BEGINNING ALGEBRA

1 unit • P/NP • One hour lecture

This course is designed for students who have taken a prealgebra level course and want to improve their understanding of the topics covered in that course. This course prepares students for beginning algebra by providing a personalized review of the prerequisite topics. Offered online.

**MATH LEARNING CENTER**

**The Math Learning Center offers an individualized program ****of study to assist those students who are currently enrolled in ****basic skills mathematics classes. The student may work with an ****instructor and tutor.**

MATH 440 SUPERVISED TUTORING: MATHEMATICS

**0 units • NC • Total hours: Eight and one-half to three hundred forty hours lab by arrangement**

This course is designed to provide supervised tutoring for students concurrently enrolled in a basic skills mathematics course or any course that requires basic mathematics skills to complete the course work. **Enrollment limitation: Must be referred by an instructor.**