Jun 17, 2024  
2018-2019 Undergraduate Academic Catalog 
2018-2019 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 136 - Calculus I

4 lecture hours 0 lab hours 4 credits
Course Description
This course begins with a short review of topics in algebra and trigonometry before introducing the student to differential calculus. Topics include algebra of functions, limits, continuity, differentiation of algebraic, trigonometric, exponential and logarithmic functions and application of the derivative to curve sketching and optimization problems. (prereq: MA 120  or equivalent)
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

Anthony van Groningen

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