## Purpose of Math 1110

The purpose of all of the developmental mathematics courses is to support student success academically and beyond by advancing critical thinking and reasoning skills. Specifically in Algebra II, as a team, we will examine ways to use the algebraic structure provided to form strategies that are appropriate for the given problem and minimize the amount of work needed to arrive at a conclusion. In other words, use the structure to determine how to simplify an expression, factor a polynomial, or solve an equation efficiently.

Math 1110 in the Developmental Math Program in the Department of Mathematics at Western Michigan University is designed to sharpen algebraic skills and concepts in a function-based setting. Topics include linear functions, quadratic functions, composing and decomposing functions, inverse functions, logarithmic and exponential functions. The course emphasizes both the manipulation of symbols and an understanding of when manipulations are effective and appropriate.

### This course serves as a prerequisite course and does not satisfy the Proficiency 3 general education requirement.

## COURSE INFORMATION

- Course syllabus
- Participation
- Presentations
- TI 83/84 directions (Note that YouTube is also a good source for directions with any type of calculator)
- Tips for success

## EXAM DATES FOR summer i 2019 BY NUMBER

- Thursday, May 16; 25 minutes
- Thursday, May. 30; 50 minutes
- Thursday, June 6; 25 minutes
- Tuesday, June 18; 50 minutes

**The final exam is on the last day of class: Tuesday, June 25.**

** If you are unable to attend class on any exam day you must notify Dr. Kim (269) 387-4392 before class or a make-up may be denied.**

## TENTATIVE SCHEDULE BY WEEK

- Properties of numbers and consequences for expressions, distributive property, and exponent rules
- Solving equations,
**Exam 1**, definition of a function, function notation, and expressions, equivalent expressions, and practical meaning of coefficients and constants - Equivalent equations, functions and equations, and the zero product property, average rate of change, linear functions, function composition and decomposition
- Function decomposition, factoring trinomials by guess and check,
**Exam 2**, factoring trinomials by regrouping, factoring trinomials using the ac method, finish factoring and solving quadratic and quadratic like equations - Simplifying and combining rational expressions, solving rational equations,
**Exam 3** - Inverse functions and logarithms, rules of logarithms, simplifying logarithmic expressions, solving exponential and logarithmic equations, and three forms of a quadratic
**Exam 4**, quadratic functions and characteristics of quadratic functions, completing the square, quadratic formula, solving quadratic and quadratic like equations efficiently, and linear functions**Final exam week**

**Monday, June 3 is the last day a student can process an officially withdrawal from a class to avoid a failing grade.**