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Nov 24, 2024
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MA 136A - Calculus I4 lecture hours 1 lab hours 4 credits
Course Description
This course is the same as MA 136 . The ‘A’ designation after the course number indicates there are extra math lab hours built in as a requirement for successful completion of the course. (prereq: MA 120 or equivalent and consent of instructor)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Understand the Mean Value Theorem
- Evaluate the limits of algebraic, trigonometric, exponential and logarithmic functions
- Identify removable and non-removable discontinuities
- Evaluate the derivative of algebraic, trigonometric, exponential and logarithmic functions
- Find the equation of a tangent line to a curve
- Find the position, velocity and acceleration of a moving object
- Use derivatives to find relative extrema and points of inflection on a curve
- Set up and solve optimization problems
- Set up and solve related rate problems
Prerequisites by Topic
- Simplification of algebraic expressions containing complex fractions, exponents, and radicals
- Factoring
- Linear, fractional, and quadratic equations
- Cartesian coordinate system
- Systems of equations
- Trigonometric functions
- Trigonometric identities
Course Topics
- Algebra and trigonometry review
- Functions
- Limits and continuity
- Rates of change, tangent lines, and definition of derivative
- Derivatives of algebraic and trigonometric functions
- Derivatives of exponential and logarithmic and inverse trig functions
- First and second derivative tests for extrema, curve sketching
- Applied optimization problems
- Related rates problems
- Mean Value Theorem
Coordinator
Anthony van Groningen
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