| MATH-101 Elementary & Intermediate Algebra Review |
| (0.5 units LEC) | |
| A course for students who have successfully completed course work in elementary or intermediate algebra. This course reviews topics from elementary and intermediate algebra and can be used as a refresher prior to enrolling in the next math course. This course can help students raise their level of math readiness. The level and depth of review will be adjusted to suit the individual student’s needs. |
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| MATH-115 Math Confidence |
| (1 unit LEC) | |
| A course for students who want an improved attitude toward learning math. Students explore feelings about math and develop strategies to overcome math phobia. Emphasis will be placed on study strategies and problem-solving skills designed to enhance success in courses in mathematics and in related areas. |
| Note: This course is recommended for those students taking MATH-372, MATH-376, and MATH-380. |
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| MATH-120 Intermediate Algebra |
| (4 units LEC) | |
| A course in which functions are investigated graphically, numerically, symbolically and verbally in real-world settings. Linear, quadratic, absolute value, polynomial, rational, radical, exponential, and logarithmic equations and functions are explored. Technology is integrated into all aspects of the course. |
| Note: A graphing calculator is required. |
| Prerequisite: MATH-380 |
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| MATH-120L Math Lab for Intermediate Algebra |
| (0.5-1 units LAB) | |
| Instructional support for students in Intermediate Algebra (MATH-120), given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in MATH-120 (or similar course). Course-specific work will be assigned. |
| Note: Students should be enrolled in MATH-120 or similar course. |
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| MATH-15 Elementary Statistics |
| CSU and UC | (4 units LEC) | |
| The study of statistical methods as applied to descriptive statistics and inferential statistics. An emphasis on the meaning and use of statistical significance will be central to the course. Students will use frequency distributions, graphs, measures of relative standing, measures of central tendency, measures of variability, correlation, and linear regression to explore descriptive statistics. Students will use the laws of probability and statistical tests (t-tests, chi-square, ANOVA, and regression analysis) to make decisions via hypothesis testing and estimate parameters using confidence intervals. |
| Note: A TI-83 or TI-84 graphing calculator is required. |
| Prerequisite: MATH-120 |
| Recommended Prep: ENGL-150 |
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| MATH-194 Intermediate Algebra for Business Fields |
| (4 units LEC) | |
| A course in which functions are investigated graphically, numerically, symbolically and verbally in real-world settings with an emphasis on applications to business. Linear, quadratic, polynomial, rational, exponential, and logarithmic equations and functions are explored as models of real life applications. Data analysis and technology are integrated into all aspects of the course. |
| Note: Computer use with spreadsheet software (Excel) is a necessary part of the course. A graphing calculator is required; TI-83 or TI-84 recommended. This course does not meet the prerequisite for MATH-25 or MATH-30. |
| Prerequisite: MATH-380 |
| Recommended Prep: CIS-100 |
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| MATH-25 College Trigonometry |
| CSU | (4 units LEC) | |
| A study of trigonometric functions, radian measure, solution of right triangles, graphs of the trigonometric functions, inverse trigonometric functions, trigonometric identities and equations, laws of sines and cosines, solution of oblique triangles, polar coordinates, complex numbers in trigonometric form, De Moivre’s theorem, and conic sections. |
| Note: A graphing calculator is required. |
| Prerequisite: MATH-120 |
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| MATH-30 College Algebra |
| CSU and UC | (4 units LEC) | |
| A course covering first-degree and absolute value equations and inequalities; composite and inverse functions; polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities; matrices; sequences and series; mathematical induction; binomial expansion theorem; and complex numbers. |
| Note: Graphing calculator required, TI-83 or 84 recommended. |
| Prerequisite: MATH-120 |
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| MATH-372 Arithmetic for the College Student |
| (4 units LEC) | |
| A study of addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals, with an emphasis on applications. Includes applications of proportion and percents, unit conversion, and averages. Problem solving, estimation, small group work, exploratory activities, and the communication of mathematical ideas are an integral part of the course. The use of scientific calculators will also be introduced. |
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| Prerequisite: Completion of the assessment process |
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| MATH-372L Math Lab for College Arithmetic |
| (0.5-1 units LAB) | |
| Instructional support for students in College Arithmetic (MATH-372), given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in MATH-372. Course-specific work will be assigned. |
| Note: Students should be enrolled in MATH-372. |
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| MATH-376 Pre-Algebra |
| (4 units LEC) | |
| A comprehensive review of arithmetic, involving whole numbers, fractions, decimals, and signed numbers. Students will solve problems involving ratios, proportions, percents, and geometry. Basic algebra concepts and techniques, such as variables, simplifying expressions, solving equations, and graphing linear equations will also be introduced. Problem solving, estimation, and the communication of mathematical ideas are an integral part of the course. |
| Note: Scientific calculator is required. |
| Prerequisite: MATH-372 |
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| MATH-376L Math Lab for Pre-Algebra |
| (0.5-1 units LAB) | |
| Instructional support for students in Pre-algebra (MATH-376), given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in MATH-376. Course-specific work will be assigned. |
| Note: Students should be enrolled in MATH-376. |
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| MATH-380 Elementary Algebra |
| (5 units LEC) | |
| A study of the real number system, first degree linear equations and inequalities, polynomial expressions and equations, factoring, radicals, quadratic equations and the quadratic formula, interpretation of graphs, and problem-solving techniques. Small group work and exploratory activities (including the use of the graphing calculator) are involved in this course. |
| Note: Graphing calculator required, TI-83 or TI-84 recommended. |
| Prerequisite: MATH-376 |
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| MATH-380L Math Lab for Elementary Algebra |
| (0.5-1 units LAB) | |
| Instructional support for students in Elementary Algebra (MATH-380), given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in MATH-380. Course-specific work will be assigned. |
| Note: Students should be enrolled in MATH-380. |
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| MATH-4 MATLAB Programming |
| CSU | (3 units LEC) | |
| An introduction to programming in MATLAB, with emphasis on programming applications in science, mathematics, and engineering. |
| Note: Students may work in campus computer labs to complete their assignments. Students wishing to work on assignments on their home computers must purchase the Student Edition of MATLAB. |
| Prerequisite: MATH-25 and MATH-30 |
| Recommended Prep: Previous or concurrent enrollment in MATH-50A |
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| MATH-45 Linear Algebra |
| CSU and UC | (4 units LEC) | |
| The use and application of matrices in the solution of systems of linear equations, determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, diagonalization, and orthogonality. Linear algebra is a core course in many engineering, physics, mathematics, and computer science programs. |
| Note: Computer exploration is an integral component of this course. Students will also create and present oral and written analyses of a topic that requires use of the concepts and techniques learned in this course. |
| Prerequisite: MATH-25 and MATH-30 |
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| MATH-5 Contemporary Mathematics |
| CSU | (3 units LEC) | |
| A study of mathematical concepts that include inductive and deductive reasoning, mathematical modeling and analysis of linear and exponential functions, geometric symmetries, geometry of fractals, sequences and series, dynamics of population growth, statistics, mathematics of finance and management science, mathematics of methods of voting, fair division, and problem-solving techniques that include a variety of practical problems. This course is designed for liberal arts students. |
| Note: Graphing calculators are required. |
| Prerequisite: MATH-120 |
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| MATH-50A Differential Calculus |
| CSU and UC | (4 units LEC) | |
| A study of limits, continuity, and derivatives of algebraic, transcendental, and trigonometric functions. Applications of the derivative include optimization, related rates, examples from the natural and social sciences, and graphing of functions. The course introduces the integral and the connection between the integral and derivative. |
| Note: A graphing calculator is required. |
| Prerequisite: MATH-25 and MATH-30 |
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| MATH-50B Integral Calculus |
| CSU and UC | (4 units LEC) | |
| The second in the series of three calculus courses. Integral Calculus develops a set of advanced symbolic and numerical integration techniques, building on skills developed in the first course in the series, Differential Calculus. The course includes applications of integration, sequences and series, and the use of the Taylor polynomial to approximate functions. Students are introduced to parametric and polar equations and to the solution of differential equations. |
| Note: A graphing calculator is required. |
| Prerequisite: MATH-50A |
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| MATH-50C Multivariable Calculus |
| CSU and UC | (4 units LEC) | |
| The third in the series of three calculus courses. Multivariable Calculus applies the techniques and theory of differentiation and integration to vector-valued functions and functions of more than one variable. The course presents a thorough study of vectors in two and three dimensions, vector-valued functions, curves and surfaces, motion in two and three dimensions, and an introduction to vector fields. |
| Note: Extensive computer visualization is an integral component of this course. |
| Prerequisite: MATH-50B |
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| MATH-52 Math Lab for Transfer Level Mathematics |
| CSU | (0.5-1 units LAB) | Repeatable to a maximum of four enrollments |
| A review of mathematical topics for students enrolled in any transfer level mathematics course. This lab will provide individualized instruction in a self-paced lab environment. Course specific work will be assigned. This course is designed to support MATH 15, 25, 30, 50A, 50B. |
| Note: Students should be enrolled in at least one transfer-level mathematics course (MATH 15, 25, 30, 50A, 50B). |
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| MATH-55 Differential Equations |
| CSU and UC | (4 units LEC) | |
| A study of ordinary differential equations and solutions, equations of first and second order, linear differential equations, systems of equations, phase plane analysis, existence and uniqueness theorems, applications and modeling. |
| Note: Computer exploration is an integral component of this course. Students will also create and present oral and written analyses of a topic that requires use of the concepts and techniques learned in this course. |
| Prerequisite: MATH-50B (or concurrent enrollment in MATH-50B) |
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