# Math 1110 Algebra II

## 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 solely as a prerequisite course. Math 1110 does not satisfy any general education or essential studies requirement.

## COURSE INFORMATION

- Course learning outcomes
- Course syllabus
- How to use activity learning outcomes and goals to improve your grade
- 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 ii 2024 BY EXAM NUMBER

- Tuesday, July 9; 50 minutes
- Thursday, July 25; 50 minutes
- Monday, August 5; 50 minutes

If you are unable to attend class on any exam day you must notify your instructor before the exam, so that he can assist you in a timely manner.

## TENTATIVE SCHEDULE BY WEEK NUMBER

- June 27 through June 28: Properties of numbers and consequences for expressions
- July 1 through July 5: Exponent rules, using exponent rules to simplify expressions, and solving equations
- July 8 through July 12: Extraneous solutions, functions,
**Exam 1**, and function notation - July 15 through July 19: Expressions, practical meaning of coefficients and constants, equivalent expressions, functions and equations, the zero product property, equivalent equations, extraneous solutions, and linear functions
- July 22 through July 26: Function composition and decomposition, domain and range (review on Desmos), and exponential functions and models,
**Exam 2**, start inverse functions - July 29 through Aug. 2: Inverse functions and logarithms, rules of logarithms, simplifying logarithmic expressions, solving exponential and logarithmic equations, and factoring trinomials by guess and check
- Aug. 5 through Aug. 9:
**Exam 3**, factoring trinomials by grouping, solving quadratic equations, factoring trinomials using the ac method, solving quadratic and quadratic like expressions and equations, solving exponential and logarithmic equations that involve factoring, cost, revenue and profit, and three forms of a quadratic function - Aug. 12 through Aug. 15: Characteristics of quadratic functions, completing the square, quadratic formula, solving quadratic and quadratic like equations efficiently, linear functions, and
**Final exams (August 15 during regular class time)**

## LAST DAY TO WITHDRAW

Monday, July 22 is the last day a student can process an official withdrawal from a class to avoid a failing grade.