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# Syllabus for Precalculus

Syllabus:

Lesson 1: A.3, A.5 - Review Polynomials and Factoring
Online Completing the Square Worksheet
Lesson 2: A.1, A.6 – Review Intervals and Inequalities
Weekend Review: A.2 and A.4 check the answers to all your homework in the back of the book.
Lesson 3: 1.2 - Graphs of Equations 1.3 - Linear Equations in Two Variables
Lesson 4: 1.4 - Functions 1.5 Analyzing Graphs of Functions
Lesson 5: 1.6 - A Library of Functions
Lesson 6: l.7 - Shifting, Reflecting, and Stretching Graphs 1.8 Composition of Functions
Lesson 7: Review for Exam I
Lesson 8: Exam I (students who fail this exam should consider dropping the course and auditing
MAT 104. Please consult with Mr. Rothchild in Gillet 104 during his office hours for more
Lesson 9: 1.9 - Inverse Functions 1.10 - Mathematical Modeling
Lesson 10: A.3, 2.1- Maximizing Quadratic Functions
Online Examples of Maximization
Online Max-Min Problem Sheet
Lesson 11: 2.3 - Polynomial and Synthetic Division Review exponents A.2
Lesson 12: 3.1- Exponential Functions and Their Graphs
Online Credit Card Example
Lesson 13: 3.2 - Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms
Lesson 14: 3.4 - Exponential and Logarithmic Equations
Online Inverses of Functions with Exponentials
Lesson 15: Review for Exam II
Lesson 16: Exam II (students who fail both exams should probably drop the course. Please
consult with Mr. Rothchild in Gillet 104 for more personalized advising)

INSTRUCTORS: Please try to give this second exam, prior to the deadline for students to
withdraw from a course.

Lesson 17: 3.5 Exponential and Logarithmic Models Online Exponential Problem Sheet
Lesson 18: 4.1- Radian and Degree Measure 4.2 - Trigonometric Functions: The Unit Circle,
Mention the Pythagorean identity Online Unit Circle Project
Lesson 19: 4.3 - Right Triangle Trigonometry 4.4 - Trigonometric Functions of Any Angle
Review for Right Triangle Trigonometry
Lesson 20: Graphs of Sine and Cosine Functions 4.6 - Graphs of other trigonometric functions
Lesson 21: 4.7- Inverse Trigonometric Functions 4.8 - Applications and Models
Lesson 22: Review for Exam III
Lesson 23: Exam III
Lesson 24: 5.1 - Using Fundamental Identities 5.2 - Verifying Trigonometric Identities 5.4 - Sum
and Difference Formulas and their proofs
Lesson 25: 6.1 – 6.2 Law of Sines and Law of Cosines
Lesson 26: 2.2 and 2.6 - Graphing Polynomial and Rational Functions
Lesson 27: Catch up or 2.7 - Partial Fractions
Lesson 28: Review for the Final
Final: The final will be given during Finals Week covering the entire course especially topics
needed in Calculus. The final exam will not be waived for students who are already acing the
course. This is your opportunity to reinforce your knowledge and prepare yourselves to ace
calculus.

Notes:
1) MAT 172 is a Precalculus course designed to prepare a student for a two semester calculus
sequence. Students whose educational plans require only one semester of calculus should not be
taking MAT 172. They should take MAT 171, and then MAT 174. If you have any questions,
please see Mr. Rothchild in G104 during his office hours.

2) We assume proficiency in MAT 104. Students lacking this proficiency will almost certainly
do poorly in this course, and are advised to either audit MAT 104 or go to Math Lab before
attempting MAT 172. Instructors may wish to give a brief diagnostic the first or second class.
Students should go to their instructor’s office hours, to Math Lab or to study groups ASAP when
they need help.

3) A simple (non- graphing ) calculator is useful. Any calculator with ln x, ex, yx, and trig
function keys will be just fine.

4) Please remember that there is flexibility in the times allotted to topics by this syllabus, but
the topics in the syllabus must be covered by the instructor and understood by the student. Students
should regard mastery of MAT 172 as necessary for success in MAT 175.

5) Please feel free to speak to Mr. Rothchild in Gillet 104 during his office hours if you have
any questions.

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