
MA 136  Calculus I4 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 nonremovable 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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