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Course Description: Math 1155

Intensive Precalculus

Overview: Linear and quadratic equations and inequalities; graphs of equations, including lines, circles, parabolas; composition, inverses of functions; transformations of graphs; linear and quadratic models; equations and inequalities involving polynomials and rational functions; exponentials and logarithms with applications. Trigonometric functions and inverse trigonometric functions: definitions, graphs, identities; real and complex zeros of polynomials; polar coordinates; DeMoivre's Theorem; solutions of systems of equations by substitution and elimination; systems of inequalities; arithmetic sequences and geometric series. 5 credits. 3 lectures. 2 recitations per week.

Prerequisite: 3 years high school math or C- in GC 0731 or placement exam.

Audience: Students with several gaps in their readiness for calculus but who feel able (or compelled) to deal with the fast pace of a one-semester precalculus course. Satisfies the prerequisite for Math 1271 or Math 1371 (Calculus) and also satisfies the CLE Mathematical Thinking requirement.
Math 1155 = Math 1051 + Math 1151.

Texts:

Sullivan, Algebra Review, 3rd edition (referred to as SMS)
Sullivan: Precalculus, 7th edition (referred to as Sullivan)

Coverage:

SMS, overview and pretest 1 lecture
Sullivan, Chapters 1-3, omitting 1.4 13 lectures
Sullivan, Sections 4.1-4.7 6 lectures
Sullivan, Chapters 5-7, omitting 6.2, 6.6 and 7.5  14 lectures
Sullivan. Sections 8.1, 8.3 2 lectures
Sullivan, Sections 10.1, 10.6, 10.7 3 lectures
Sullivan, Sections 11.1, 11.2, 11.3 3 lectures
Total 42 lectures

Class pacing may vary depending on term length. Check the class syllabus for details.

 

math.umn.edu/courses/1155/
Last Modified February 28, 2008
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