Mar 27, 2023  
2015-2016 Undergraduate Academic Catalog 
2015-2016 Undergraduate Academic Catalog [ARCHIVED CATALOG]

Add to Portfolio (opens a new window)

MA 136A - Calculus for Engineers I

4 lecture hours 0 lab hours 4 credits
Course Description
This course is the same as MA 136 . The ‘A’ designation after the course number indicates this is a special section taught by our Learning Resource Center staff. There are extra math lab hours built in as a requirement for successful completion if the course. (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 (3 classes)
  • Functions (3 classes)
  • Limits and continuity (5 classes)
  • Rates of change, tangent lines, and definition of derivative (2 classes)
  • Derivatives of algebraic and trigonometric functions (6 classes)
  • Derivatives of exponential and logarithmic and inverse trig functions (6 classes)
  • First and second derivative tests for extrema, curve sketching (4 classes)
  • Applied optimization problems (3 classes)
  • Related rates problems (1 class)
  • Mean Value Theorem (1 class)
  • Review and exams (6 classes)

Gina Moran

Add to Portfolio (opens a new window)