Oct 07, 2022  
2020-2021 Undergraduate Academic Catalog 
2020-2021 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 136A - Calculus I

4 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

Dr. Anthony van Groningen

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