MATH 126: Schedule of Topics, Tests, and Quizzes   Summer 2017

Week 1
thru June 1
• Review Algebra Topics on your own as needed prior to 1st class
hw 0 Formative Assessment
qz 0 Prerequisite Skills Quiz (D2L)
• sec 1.3 & 1.4: calculus type factoring problems
• sec. 1.9 distance, midpoints, circles including completing the square, symmetry
• Weekend Honor's Topic: Pythagorean Theorem Project (1 honor's pt)
Week 2
June 5 - 8
• sec. 2.1 functions, ways to represent, notation, net change
• sec. 2.2 functions vs. relations graphically and algebraically, piecewise defined functions
• sec. 2.3 reading graphs, increasing, decreasing, local max's and mins's, domain & range,
• sec. 2.4 average rate of change
• sec. 2.5 (& 1. 7 & 1.10) Linear Functions and Models
qz & mini-test 1 sec. 1.3, 1.4, 1.9, 2.1 - 2.5, 1.10, 1.7
• sec. 2.6 Function Symmetry
• sec. 2.6 Transformations
• sec. 2.7 Combinations of Functions: Add/Subtract/Multiply/Divide
• sec. 2.7 Combinations of Functions: Composition
• sec. 2.8 1 - 1 functions, inverse functions
• Weekend Honor's Topic: Challenging Composition of Functions Project (3 honor's pts)
Week 3
June 12 - 15
qz & mini-test 2 sec. 2.6, 2.7, 2.8
• sec. 3.1 (& 1.5, 1.6) Quadratic Functions, including completing the square
• sec. 3.2 Polynomial Functions: end behaviour, # of extrema, Behavior Near Zeros, Intermediate Value Theorem, Graphs
• sec. 3.7 (& 1.8) Rational and Polynomial Inequalities
• sec. 3.3 Dividing Polynomials, Remainder and Factor Thms
• sec. 3.4 Theorems about Zeros of Polynomials
• sec. 3.5 Complex Zeros, Fundamental Thm of Algebra, Factored Form
• sec. 3.6 (& 1.1, 1.4, 1.12) Graphs of Rational Equations
qz & mini-test 3 sec. 3.1 - 3.7
• review for exam 1
• Weekend Honor's Topic: prove rational root theorem (1 honor's pt)
Week 4
June 19 - 22
Exam 1 over units 1 - 3 on June 19th
• sec. 4.1 - 4.2 (& 1.2) Exponential Functions, Compound Interest, e
• sec. 4.3 Logarithmic Functions
• sec. 4.4 Laws of Logathrims
• sec. 4.5 Log Equations
• sec. 4.6 Exponential Application Problems
Week 5
June 26 - 29
qz & mini-test 4 sec. 4.1 - 4.6
• sec. 5.1 The Unit Circle, Key Values, and Symmetries
• sec. 6.1 Angle Measure, Arc Length, Area of a Wedge, Linear/Angular Speed
• sec. 5.2 Circular Trig Functions, Pythagorean Identities
• sec. 6.3 More Trig Questions using knowledge from last few sections
• sec. 6.2 Right Triangle Trig & Applications
• sec. 5.3 & 5.4 Basic Graph Sapes
• sec. 5.3 Transformed Graphs of Sine and Cosine
• Weekend Honor's Topic: Research Hyperbolic Functions: definitions, relationship to hyperbola, uses (2 honor's pts)
Week 6
July 5 - 6
• sec. 5.3 Special Graphing Cases
• sec. 5.4 Transformed Graphs of Other Trig Functions
qz & mini-test 5 sec. 5.1 - 5.4 & 6.1 - 6.3
• sec. 5.5 & 6.4 Part I Inverse Trig Functions
Week 7
July 10 - 13
• sec. 5.5 & 6.4 Part II More on Inverse Trig Functions
• Triangle Experiment Activty
• sec. 6.5 Law of Sines
• sec. 6.6 Law of Cosines
• sec. 7.1 Basic Identities and Trig Proofs
• sec. 7.2 Sum/Difference Identities, Asinx + Bcosx
• sec. 7.3 Double & Half Angle Identities
qz & mini-test 6 sec. 5.5, 6.4 - 6.6, 7.1 - 7.3
• Test 2 Review
• Weekend Honor's Topic:
  • Write up derivation for Law of Sines and Cosines (1 honor's pt)
  • derive the sum and difference identities (1 honor's pt)
  • derive the double and half angle identities (1 honor's pt)
Week 8
July 17 - 20
Test 2 over units 4 - 6 on July 17th
• sec. 7.4 Basic Trig Equations
• sec. 7.5 More Trig Equations
• sec. 8.1 Polar Coordinates
• sec. 8.2 Polar Equations
• sec. 8.3 Complex Numbers in Polar Form, DeMoivre's Thm
• sec. 9.1 Introduction to Vectors
• Weekend Honor's Topic:
  • More on DeMoivre's Theorem(1 honors pt)
  • Complex Numbers Project (3 honors pts)
Week 9
July 24 - 27
• sec. 9.2 Dot Product and Dot Product applications
qz & mini-test 7 sec. 7.4, 7.5, 8.1 - 8.3, 9.1, & 9.2
• sec. 10.1 Systems of Equations
• sec. 10.2 Systems of Equations with Several Variables
• sec. 10.3 (& sec 1.7) Using Matrices and your calculator to solve Systems of Equations
• chapter 11 Introduction to Conics
• sec. 11.1 Parabolas sec. 11.4 Shifted Parabolas
• sec. 11.2 Ellipses sec. 11.4 Shifted Ellipses
• sec. 11.3 Hyperbolas sec. 11.4 Shifted Hyperbolas
• Weekend Honor's Topics:
  • More on Matrices (1 honors pt),
  • More on Vectors: equivalence of dot product definitions, 3-d vectors, break a vector up into // and ⊥ comp. to another vector, cross product and applic. (3 honor's pts),
  • Derive the standard Equations of the Conics from the definitions given in class involving distance (1 honor's pt)
  • Eccentricity Definition of a Conic Project (3 honor's pts)
Week 10
July 31 - August 3
• sec. 8.4 Parametric Equations
• Build a Face Project
qz & mini-test 8 sec. 8.4, 10.1 - 10.3, & 11.1 - 11.4
• sec. 12.1 Sequences and Series, Properties of Summation
• sec. 12.2 Arithmetic Sequences & Series
• sec. 12.3 Geometric Sequences & Series
• sec. 14.1 Introduction to Counting
• Weekend Honor's Topic:
  • sec. 12.5 Proof by Induction (2 honor's pts)
  • Equation of winking eye from Build a Face Project (2 honor's pts)
  • Geometric Series / Sequence Fractal Project (2 honor's pts)
Week 11
August 7 - 10
• Binomial Template Activity
• sec. 12.6 Binomial Theorem & Pascal's Triangle
• sec. 14.3 Finish Counting
qz & mini-test 9 sec. 12.1 - 12.3,`12.6, 14.1, 14.3
• Review for Test 3
Test 3 over units 7 - 9 on July 9th
• Final Review and Makeup Exam Day
Week 12
August 14 - 17
• Final Exam Review
Comprehensive Final Exam on August 15th
• Grading day, no class on August 16th
• Grades posted on August 17th