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Nov 21, 2024
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MA 128 - Analytic Geometry and Calculus I4 lecture hours 0 lab hours 4 credits
Course Description
This subject is an introduction to differential and integral calculus with analytic geometry. The following topics are covered: techniques of curve sketching, conic sections and the general second degree equation, the derivatives of algebraic functions and use of derivatives in curve sketching, applied maxima and minima, related rates, the integrals of algebraic functions, and definite integrals and areas. (prereq: MA 127 or equivalent)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Analyze and sketch the graphs of equations
- Write the equation of any conic section
- Evaluate limits
- Use the delta process to obtain the derivative of an algebraic function and interpret this process geometrically
- Write the derivative of any algebraic function using power, product, and quotient rules
- Differentiate functions implicitly
- Use the derivative in curve sketching and in solving time-rate and maximum and minimum problems
- Use the differential to approximate small changes and the relative error of the approximation
- Obtain the indefinite integrals of certain algebraic functions
- Evaluate definite integrals
- Find areas using the definite integral
Prerequisites by Topic
- An understanding of basic algebra including algebraic fractions and radical expressions
- A knowledge of slope, distance, and equations of lines
Course Topics
- Basic analytic geometry (1 class)
- Curve sketching (3 classes)
- Conic sections (3 classes)
- Functions (2 classes)
- Limits (2 classes)
- The derivative (7 classes)
- Applications of the derivative (8 classes)
- The antiderivative and the definite integral (8 classes)
- Review and exams (6 classes)
Coordinator
Bruce O’Neill
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