## Developmental Mathematics Courses

### Math Courses Flowcharts

The following is a small (8.5 by 11 inch) black and white flowchart showing all mathematics courses at College of the Redwoods. It indicates prerequisites and math level.

Math Courses Flowchart handout

The following is a larger version (11 by 17 inch) of the same flowchart with some color showing all mathematics courses at College of the Redwoods. It indicates prerequisites and math level. The color may aid in viewing the information online.

Math Courses Flowchart (with color)

### Algebra Review Courses

These courses are designed as a compact review of material that has already been learned. The goal is to prepare for the math placement test and review material to get ready for the following semester's math class.

Math 301: A review course covering material from Math 376 (Prealgebra). This review course is designed for students preparing to place into Math 380 (Elementary Algebra). Content will include: review of arithmetic operations involving fractions, decimals, and signed numbers; review of problem-solving strategies for problems involving ratios, percents, and geometry; review of basic algebra concepts; review of techniques for simplifying algebraic expressions and solving linear equations.

Math 302: A review course covering material from Math 380 (Elementary Algebra). This review course is designed for students preparing to place into Math 120 (Intermediate Algebra). Content will include: review of linear equations and linear inequalities in one variable; review of linear equations in two variables; review of systems of linear equations; review of integer exponents and polynomials; review of factoring; and review of radical expressions and equations.

Math 303: A review course covering material from Math 120 (Elementary Algebra). This review course is designed for students preparing to place into a transfer level mathematics course. Content will include: review of linear equations and inequalities in one variable; review of logic; review of linear functions; review of quadratic and polynomial functions; review of rational functions; review of exponential and logarithmic functions; review of radical functions.

### Math 252: Math Lab (non-credit)

A course which offers instructional support for students taking any mathematics course, given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in their mathematics courses.

### Math 272: College Arithmetic

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.

### Math 276: Prealgebra

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 will also be introduced. Problem solving, estimation and the communication of mathematical ideas are an integral part of the course. Use of a scientific calculator will be introduced.

### Math 380: Elementary Algebra

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.

### Math 380L: Math Lab for Elementary Algebra

A course which offers instructional support for students taking 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.

### Math 101: Elementary and Intermediate Algebra Review

A review course for students who have successfully completed course work in elementary or intermediate algebra. This review course will include 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.

### Math 115: Math Confidence

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.

### Math 120: Intermediate Algebra

A course in which functions are investigated graphically, numerically, symbolically and verbally in real-world settings. Linear, quadratic, polynomial, rational, radical, exponential, and logarithmic equations and functions are explored. Technology is integrated into all aspects of the course.

### Math 120L: Math Lab for Intermediate Algebra

A course which offers instructional support for students taking 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.

## GE Transfer Mathematics Courses

### Math 5: Contemporary Mathematics

An approved CR and CSU General Education course designed primarily for non-science majors. This course is a study of selected topics from contemporary mathematics. Typical topics, which are chosen by the instructor, will be from areas including: 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.

### Math 5L: Math Lab for Contemporary Mathematics

A course which offers instructional support for students taking Contemporary Mathematics (Math 5), given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in Math 5.

### Math 15: Elementary Statistics

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.

### Math 15L: Math Lab for Elementary Statistics

A course which offers instructional support for students taking Elementary Statistics (Math 15), given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in Math 15.

### Math 25: College Trigonometry

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.

### Math 25L: Math Lab for College Trigonometry

A course which offers instructional support for students taking College Trigonometry (Math 25), given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in Math 25.

### Math 30: College Algebra

A course covering first-degree and absolute value equations and inequalities; composite and inverse functions; polynomial, rational, exponential, and logarithmic functions; systems of equations; matrices; sequences and series; mathematical induction; binomial expansion theorem; and complex numbers.

### Math 30L: Math Lab for College Algebra

A course which offers instructional support for students taking College Algebra (Math 30), given in a self-paced lab environment. Students receive one-on-one and small-group instruction designed to enhance success in Math 30.

### Math 52: Math Lab for Transfer Level Mathematics

A course which offers a review of mathematical topics for students enrolled in any of the following transfer-level mathematics courses: 50A, 50B, 50C, 4, 45, or 55. This lab will provide individualized instruction in a self-paced lab environment. This course is designed to support Math 50A/50B/50B/4/45/55.

## Core Mathematics Courses

### Math 4: Matlab Proramming

An introduction to programming in MATLAB, with emphasis on programming applications in science, mathematics, and engineering.

### Math 45: Linear Algebra

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.

### Math 50A: Differential Calculus

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.

### Math 50B: Integral Calculus

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.

### Math 50C: Multivariable Calculus

The third in the series of three calculus courses. Multivariable Calculus applies the techniques and theory of differentiation and integration to a thorough study of vectors in two and three dimensions, vector-valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green's Theorem, Stokes' Theorem, Divergence Theorem; includes motion in two and three dimensions, curves and surfaces.

### Math 55: Differential Equations

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, and techniques for obtaining solutions, including series solutions and Laplace transforms.