Download Math 101 General Syllabus

DEPARTMENT OF MATHEMATICS AND STATISTICS
UNIVERSITY OF MASSACHUSETTS AT AMHERST
Syllabus
Math 101: Precalculus: Algebra, Functions and Graphs
2 credits
Description: Math 101 is the first semester of a the two-semester of M101-102 Precalculus sequence.
This first course is a review of Intermediate Algebra with an introduction to functions. Math 101 alone
does not satisfy the R1 general education requirement for mathematics. To satisfy the R1, this course
needs to be followed-up with Math 102. Math 101 and 102 are the two-semester course equivalent of
the one-semester Precalculus Math 104.
Text: Voyaging Through Precalculus, 2nd Edition, with MyMathLab®, Pearson Learning Solutions.
Topics to be covered:
Chapter 1: Real Numbers and Algebraic Expressions
1.1 Tips for success in Mathematics
1.2 Algebraic Expressions and Sets of Numbers
1.3 Equations, Inequalities and Properties
1.4 Operations on Real Numbers
1.5 Order of Operations and Algebraic Expressions
1.6, 1.7 Exponents and Scientific Notation
Chapter 2: Equations and Inequalities
2.1 Linear Equations in One Variable
2.2 Introduction to Problem Solving
2.3 Formulas and Problem Solving
2.4 Linear Inequalities and Problem Solving
2.5 Sets and Compound Inequalities
2.6 Absolute Value Equations and Inequalities
Chapter 3: Graphs and Functions
3.1 Graphing Linear Equations
3.2 The Slope of a Line
3.3 The Slope-Intercept Form
3.4 Equations of Lines
3.5 Graphing Linear Inequalities [through Example 2 (p. 1840]
3.6 Introduction to Functions
3.7 Domain, Range, and Piecewise Defined Functions
3.8 Shifting and Reflecting Graphs of Functions
Chapter 4: Systems of Equations and Inequalities
4.1 Solving Systems of Linear Equations in Two Variables
4.3 Systems of Linear Equations and Problem Solving; Partial Fractions
Chapter 5: Polynomials and Polynomial Functions
5.1 Polynomial Functions, Add and Subtract Polynomials
5.2 Multiplying Polynomials
5.3 Dividing Polynomials
5.4 GCF and Factoring by Grouping
5.5 Factoring Trinomials
5.6 Factoring by Special Products [exclude sum and difference of cubes]
5.7 Solving Equations by Factoring
Chapter 6: Rational Expressions
6.1 Rational Functions; Multiply And Divide Rational Expressions
6.2 Adding and Subtracting Rational Expressions
6.3 Simplifying Complex Fractions
6.4 Solving Equations Containing Rational Expressions
Chapter 7: Rational Exponents, Radicals and Complex Numbers
7.1 Radical Expressions and Functions
7.2 Rational Exponents
7.3 Simplifying Radical Expressions
7.4 Adding, Subtracting and Multiplying Radical Expressions
7.5 Rationalizing Numerators and Denominators of Radical Expressions
7.6 Radical Equations and Problem Solving
7.7 Complex Number
Chapter 8: Quadratic Equations and Functions
8.1 Solving Quadratic Equations by Completing the Square
8.2 Solving Quadratic Equations Using the Quadratic Formula
8.3 Solving Quadratic Equations by Using Quadratic Methods