Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 114: Algebra and Trigonometry

Student Body: 

Not recommended for students with less than an AB in Math 100 or 101.

Background and Goals: 

Math 114 is a course on the mathematical fundamentals required for success in calculus. If you are not planning to take calculus (Math 211 or Math 221) probably you do not want to be in this course. For most, if not all, of you this course will look like a review of the algebra and trigonometry that you took in high school but (according to your placement scores) did not learn well enough to move directly into our fast-paced calculus courses. You should not be lulled into thinking that you know it all and can just coast in the course. We will be covering the topics on a deeper level than you have encountered before, and we will have higher expectations for your grasp of the material and your ability to reason with it clearly and efficiently.

Alternatives: 

a student wishing to take Math 221 after Math 114 can choose the sequence Math 171-217. Math 112 and Math 113 are together equivalent to Math 114.

Subsequent Courses: 

Calculus courses Math 211 or Math 221

Course Content:
  • Basic algebraic material: real numbers, exponents and radical
  • Equations, inequalities and applicationsEquations, inequalities and applications
  • Complex numbers 
  • Functions and their graphs
  • Transformations
  •  Composition of functions
  • Inverse functions 
  • Quadratic functions and applications
  • Polynomial functions, division of polynomials, Remainder and Factor Theorems, Fundamental Theorem of Algebra
  • Exponential, log functions, and applications
  • Non linear system of equations
  • Angles
  • Trig functions and graphs
  • Inverse trig functions
  • Right triangles and applications of trigonometry
  • Trig identities and formulas
  • Trig equations
  • Law of sines, law of cosines
  • Polar coordinates
credits: 
5. (q-E)
semester: 
FallSpring
prereqs: 
Intmed math comp (usu 3 units HS math) & suitable plct scores, or Math 100 or 101. Open to Fr. Closed to students with credit for Math 112 and Math 113.

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

(608) 263-3054

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