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 2-semester sequence with MATH 217; these two courses together are equivalent to MATH 114 and 221.
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:
MATH 96 or placement into MATH 171. MATH 118 does not fulfill the requisite