Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 171: Calculus with Algebra and Trigonometry I

 
Student Body: 

This course is intended for students who need some extra knowledge in precalculus and who also need a first semester calculus course

Background and Goals: 

Topics in algebra, trigonometry and precalculus are integrated with elementary differential calculus. Part of a two semester sequence with Math 217; these two courses together are equivalent to Math 114 and 221. Math 171 BY ITSELF NOT EQUIVALENT TO EITHER Math 114 OR Math 221. It needs to be taken with Math 217.

Alternatives: 

Students can take Math 114 and Math 221 instead of Math 171 and Math 217.

Subsequent Courses: 

Math 217 (Calculus with Algebra and Trigonometry II)

Course Content: 
  • Basic algebra
    • real numbers
    • absolute values
    • inequalities
    • coordinates in the plane
    • lines
    • equations and identities
    • linear equations
    • polynomials
    • factoring
    • quadratic equations
    • exponents and radicals
    • simplification of algebraic expressions
  • Functions and graphs
    • functions
    • domain and range
    • graphs
    • shifting and scaling
    • slope of a curve at a point
    • secant and tangent lines
    • rates of change
    • limits
    • continuity
    • limits at infinity
  • Differentiation
    • definition of the derivative
    • basic rules for differentiation including sums, products, and quotients of functions
    • chain rule
    • implicit differentiation
    • derivatives of power functions and trigonometric functions
    • interpretation of derivatives as rates of change with applications
    • higher order derivatives
    • linear approximation
  • Trigonometric functions
    • radian measure
    • angles
    • trigonometric functions and their graphs
    • trigonometric identities
    • limits involving trigonometric function 
    • derivatives of trigonometric functions and applications
credits: 
5 (q-E)
semester: 
Fall
prereqs: 
Intermed math comp (usually 3 units HS math) & suitable placement scores, or Math 101. Open to Fr. Closed to students with credit for Math 221.

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, Wi  53706

(608) 263-3054

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