Calculus and Early Transcendentals by James Stewart, 5th ed. Homework:
Homework ... Transition School Math is both challenging and fast–paced. This
three ...
Transition School Precalculus and Statistics Syllabus Instructor: Therese Mar, PhD Email:
[email protected] Office Hours: M-F 11:30 -12:30 or by appointment Required Text: Precalculus Functions and Graphs by Swokowski and Cole, 10th ed Optional Texts: Elementary Statistics by Larson and Farber, 2nd ed Calculus and Early Transcendentals by James Stewart, 5th ed Homework: Homework is assigned daily, except the day before an exam. Assignments are graded for both completeness and accuracy. Late assignments will only count for 80% of the maximum points. Exams: An exam will be given at the end of each chapter. A cumulative final exam will be given during finals week of each quarter. All exams are closed book and notes. Required Material: Scientific Calculator (Graphing Calculators are not permitted on exams), Spiral notebook and Graphing Paper Grades: Each quarter there will be 4 chapter exams and a comprehensive final exam.
Transition School Math is both challenging and fast–paced. This three quarter course is designed to prepare students for the University Calculus Sequence and an Introductory Statistics course. Students will develop both critical thinking as well as mathematical and problem-solving skills. Since this course is very rigorous, completion of assignments and practice is essential to successfully understanding concepts and techniques. Students are strongly encouraged to ask questions, participate in class discussions and to get additional help from the instructor or TAs when needed.
Autumn Quarter Week 1,2
Topics covered Review of algebra Real and Complex Numbers Inequalities Cartesian Coordinate system
3,4
Functions Graphs of Functions (Vertical and Horizontal Shifting, Compressions and Expansions) Multipart Functions Quadratic Functions and Applications (Max and Min Problems) Composite Functions
5,6
Polynomial and Rational Functions Polynomial Division Zeroes of Polynomials Complex and Rational Zeroes of Polynomials Rational Functions and their Graphs Partial Fractions
7,8
Exponential and Logarithmic Functions Exponential and Natural Exponential Function Logarithmic Functions and Properties Exponential and Logarithmic Equations
9,10,11
Trigonometric Functions Trigonometric Functions of Angles Trigonometric Function of Real Numbers Finding Values of Trig Functions Parametric equations Trigonometric Graphs Applied Problems Circular Motion Problems
Winter Quarter Week
Topics covered
1,2
Analytic Trig Verifying Trig Identities Solving Trigonometric Equations Addition and Subtraction Formulas Multiple Angle Formulas Product to Sum and Sum to Product Formulas Inverse Trigonometric Functions
3,4,5
Applications of Trigonometry Law of Sines
Law of Cosines Vectors and Dot Product Trigonometric Form for Complex Numbers De Moivre’s Theorem and nth Roots of Complex Numbers 6
Systems of Equations Systems of Linear Equations in Two Variables Systems of Inequalities Linear Programming Systems of Equations in More Than Two Variables
7, 8
Linear Algebra Matrix Algebra Inverse of a Matrix Determinants Properties of Determinants
9
Sequences, Series Infinite Sequences Arithmetic and Geometric Sequences
10
Mathematical Induction and Binomial Theorem
Spring Quarter
Week
Topics covered
1,2
Probability Permutations and Combinations Probability
3,4
Analytic Geometry Parabolas Ellipses Hyperbolas Plane Curves and Parametric Equations Uniform Linear Motion Polar Coordinates Polar Equations of Conics
5,6
Statistics Data Classification Experimental Design Descriptive Statistics Probability Distributions (Discrete and Normal) Confidence Intervals Hypothesis Testing with One Sample Hypothesis Testing with Two Samples Correlation and Regression
7
Statistics Project and Presentations
8, 9,10
Select Topics in Calculus Limits Tangent Lines Derivatives Differentiation rules for polynomials, exponential functions Product and Quotient Rules
