Dec 08, 2022
 HELP 2021-2022 Undergraduate Academic Catalog [ARCHIVED CATALOG] Print-Friendly Page (opens a new window)

# 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 placement into MA 136A)
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
Dr. Anthony van Groningen