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Course Criteria
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5.00 Credits
Linear, quadratic, polynomial, exponential and logarithmic functions with an emphasis on graphing and applications. These applications will cover diverse fields, including but not limited to biology, business, physical sciences, social sciences and general data analysis. Prerequisite: Satisfactory score on the mathematics placement test or MATH 220. Advisories: This course is an option for students who intend to obtain an AA degree without transferring to a four-year institution. Students may not receive credit for both MATH 105 and 103/104. Five hours lecture, one hour laboratory. GE Area: Non-GE Applicable
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5.00 Credits
Linear systems of three equations in three unknowns, rational expressions and equations, radical expressions and equations, polynomials and complex numbers. This course is intended for students who have taken MATH 103 and who wish to fulfill the prerequisites for MATH 10, 11, or 51. Prerequisite: MATH 103. Advisory: Students may not receive credit for both MATH 105 and 103-104. Five hours lecture, one hour laboratory. GE Area: Non-GE Applicable
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5.00 Credits
Linear, quadratic, polynomial, rational, radical, exponential and logarithmic functions and expressions with an emphasis on graphing and applications. This course is for students who intend to transfer to a four-year institution. Prerequisite: Satisfactory score on the mathematics placement test or MATH 220. Advisories: This course is for students who intend to transfer to a four-year institution; students may not receive credit for both MATH 105 and 103-104. Five hours lecture, one hour laboratory. GE Area: Non-GE Applicable
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5.00 Credits
Set theory, basic combinatorial analysis, introduction to probability, linear equations and inequalities, introduction to linear programming and the simplex method, introduction to matrix algebra with applications, Markov chains, game theory and mathematics of finance. Prerequisite: Satisfactory score on the mathematics placement test or MATH 104 or 105. Five hours lecture, one hour laboratory. GE Area: Communication & Analytical Thinking
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5.00 Credits
Elementary ideas of differential and integral calculus. Differentiation of multivariate functions with their applications. Applications to business and economics. Prerequisite: MATH 11. Five hours lecture, one hour laboratory. GE Area: Communication & Analytical Thinking
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1.00 Credits
An introduction to the use of the Mathematica computer program as it applies to mathematics courses offered at Foothill College, including numerical calculations, algebraic manipulations, graphing, solving equations and systems of equations, differentiation and integration. Advisory: Completion of, or concurrent enrollment in MATH 1A. One hour lecture, one hour laboratory. GE Area: Non-GE Applicable
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5.00 Credits
Introduction to differential calculus, including limits, derivatives and their applications to curve-sketching, families of functions, and optimization. Prerequisite: Satisfactory score on the mathematics placement test or MATH 49. Five hours lecture, one hour laboratory. GE Area: Communication & Analytical Thinking
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5.00 Credits
Introduction to integral calculus including definite and indefinite integrals, the first and second Fundamental Theorems and their applications to geometry, physics, and the solution of elementary differential equations. Prerequisite: MATH 1A. Five hours lecture, one hour laboratory. GE Area: Communication & Analytical Thinking
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5.00 Credits
Introduction to functions of more than one variable, including vectors, partial differentiation, the gradient, contour diagrams and optimization. Additional topics include infinite series, convergence, Taylor and Fourier series. Prerequisite: MATH 1B. Five hours lecture, one hour laboratory. GE Area: Communication & Analytical Thinking
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5.00 Credits
Review of addition, subtraction, multiplication and division of whole numbers, fractions and decimals. Addition, subtraction, multiplication and division of signed numbers. Introduction to algebraic concepts including solving first degree equations and evaluating and simplifying expressions. Development and applications of ratios, proportions, percents, geometric concepts and basic algebra. Prerequisite: Satisfactory score on the mathematics placement test or MATH 250 or 250L. Advisories: Not open to students with credit in MATH 200 and 200 A, B, C, D, E. Five hours lecture, one hour laboratory. GE Area: Non-GE Applicable
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