A. Catalog Description
1. Math 1117
2. Precalculus
3. 4 semester credits
4. 4 hours of instruction per week
5. Offered Fall and Spring Semesters, and Summer Session I
6. Prerequisite: 1. Math 1115 or equivalent, or appropriate ASAP Score
2. College Reading Level
7. MNTC:
a. Critical Thinking (CT)
b. Mathematics/Symbolic Systems (MA)
8. For students requiring further experience with advanced algebra prior to Calculus. Topics include Trigonometric Functions and their inverses, Law of Sines, Law of Cosines, Vectors, Complex numbers, Linear and non-linear inequalities and equations, graphing polar equations, mathematical induction, analytic trigonometry, sequences, series, and matrices, higher order rational, polynomial, exponential, and logarithmic functions.

B. Revised 6/6/2000

C. Recommended entry skills/knowledge
College Algebra skills, understanding of basic proofs, number sets, Linear and nonlinear equations, Solving and graphing higher order equations and inequalities, Solving systems of equations, logarithmic and exponential equations.

D. Major Content Areas:
Linear and Quadratic Functions, Equalities and Inequalities
Graphing functions and relations
Complex numbers and graphical representation
Polynomial and Rational Functions and their graphs
Composition, Inverse, Exponential and Logarithmic Functions, Equations
Regression Models of Data
Trigonometric Functions, Graphs, Wrapping, Circular and Inverse Functions
Trigonometric Identities and Conditional Equations
Trigonometric Equations, Law of Sines, Law of Cosines
Geometric and algebraic vectors, Polar graphing and polar equations
Complex Numbers in Polar and Trigonometric form, De Moivre’s Theorem
Systems of linear and nonlinear equations and inequalities, Matrices
Gauss-Jordan Elimination, Matrix operations, systems, equations, inverses
Linear Programming, Sequences, Series
Math Induction, Permutations, Combinations, Probability, Binomial Theorem
Conic Sections, Circle, Parabola, Hyperbola, Ellipse
Translation of Axes, Parametric Equations

E. Learning Outcomes

1. Mathematical/Logical Reasoning from MN Transfer Curriculum (MTC)

a. Illustrate historical and contemporary applications of mathematical/logical reasoning.
b. Clearly express mathematical/logical ideas in writing.
c. Explain what constitutes a valid mathematical/logical argument (proof).
d. Recognize higher order problem-solving and/or modeling strategies.

2. Critical Thinking from MN transfer curriculum

a. Gather factual information and apply it to a given problem in a manner that is relevant, clear, comprehensive, and conscious of possible bias in the information selected.
b. Imagine and seek out a variety of possible goals, assumptions, interpretations, or perspectives which can give alternative meanings or solutions to given situations or problems.
c. Analyze the logical connections among the facts, goals, and implicit assumptions relevant to a problem or claim; generate and evaluate implications that follow from them.
d. Recognize and articulate the value assumptions which underlie and affect decisions, interpretations, analyses, and evaluations made by ourselves and others.

Other Competencies:
Need to be able to read the text book and interpet problems algebraically.
Should have a B or A in prerequisite courses so the algebra skills do not have to
be relearned.
Have the ability to write step by step problems logically and use acceptable
methods to solve equations.
Use precise thinking practices to sort out the elements of the problems logically.
Employ correct methods of problem solving.
a. Mastery of Major Content Areas in Part D.
b. Introduction of Applications of these concepts to the degree that time allows.

F. Methods used for Evaluation
1. Test over the covered topics for each chapter
2. Quizzes and Extra Credit Opportunities
3. Homework
4. Group Assignments
5. Comprehensive Final Exam from the topics of Trigonometry to the end of the material, using skills and methods mastered in this class.

G. Graphing Calculators needed and used in this class.