Weeks
|
Dates
|
Sections |
Handouts
|
Supplementary
Problems |
Key
Concepts
|
1
|
Jan 14
|
Section 2.1 |
Graphs |
Short
|
|
Coordinate
Plane, Graph
of Line, Graph
of Equation, Intercepts,
Applications |
2
|
Jan 19, 21
|
Section 2.2 |
Equations
of Lines |
Short |
Problems |
Slope
of Line, Point-Slope
Equation, Slope-Intercept
Equation, General
Equation, Vertical
and Horizontal Lines, Parallel
and Perpendicular Lines, Applications
|
| Section 3.1 |
Functions
|
Short |
Problems |
Function
(Definition, Examples), Values
of Functions, Piecewise
Functions, Domain
(and Range),
Applications
|
3
|
Jan 26, 28
|
Section 3.2 |
Graphs
of Functions
|
Short |
Problems |
Graph
of Function (Definition,
Examples), Graph
of Piecewise
Function,
Step
Function, Vertical
Line Test, Graphs
of Basic Functions, Applications
|
| Section 3.3 |
Applications
of Linear Functions
|
|
|
Cost
(Fixed Costs, Variable Costs), Average
Cost, Revenue,
Profit, Rates
of Change (Rate
of Change of Linear Function, Linear
Depreciation, Marginal
Cost, Marginal
Revenue), Break-Even
Analysis, Supply
and Demand, Equilibrium
Point
|
| Section 3.4 |
Quadratic
Functions and Applications
|
|
Problems
|
Quadratic
Function (Definition), Standard
Form, Vertex,
Maximum
and Minimum Values, Applications
|
4
|
Feb 2, 4
|
Section 3.5 |
Polynomial
Functions + EXCEL
|
|
Problems
|
Polynomial
Function (Definition, Examples), Monomial,
Properties
of Polynomial Graphs, End
Behavior, Graphing
Techniques, Shape
of Graph Near Zero, Applications
(Regression)
|
| Section 3.6 |
Rational
Functions
|
|
Problems
|
Rational
Function (Definition, Examples), Linear
Rational
Functions, Vertical
and
Horizontal Asymptotes,
Nonlinear
Rational Functions, Applications
|
| Section 4.1 |
Exponential
Functions
|
|
Problems
|
Exponential Function
(Definition, Examples), Graphs, Basic
Properties, Number e, Natural Exponential
Function, Applications; Transformations of
Functions |
5
|
Feb 9
|
Section 4.2 |
Applications
of Exponential Functions |
|
|
Exponential Growth
Function, Other Exponential Models |
| Section 4.3 |
Logarithmic
Functions |
|
Problems
1
Problems
2 |
Logarithmic Functions
(Definition, Examples), Graphs, Basic
Properties, Natural and Common Logarithms, Three
Laws of Logarithms, Change of Base Formula,
Applications |
Feb
11
|
Sections
2.1, 2.2, 3.1-3.6, 4.1
|
MIDTERM
1
|
|
|
|
6
|
Feb 16 |
Section 4.4 |
Logarithmic
and Exponential Equations |
|
Problems
1
Problems
2
|
Exponential Equations,
Logarithmic Equations, Applications |
| Feb 18 |
Section 5.1 |
Simple
Interest and Discount |
|
|
Interest, Simple
Interest, Principal, Future Value, Present
Value, Discount; Corporate Bonds, Simple
Discount Loan |
7
|
Feb 23, 25
|
Section 5.2 |
Compound
Interest |
|
|
Compound Interest,
Continuous Compound Interest, Nominal and
Effective Rate (APY), Present Value for Compound
Interest; Zero-Coupon Bond |
| Section 5.3 |
Annuities,
Future Value, and Sinking Funds |
|
|
Annuity: Payment Period,
Term of the Annuity, Future Value;
Ordinary Annuity, Future Value of Ordinary
Annuity, Sinking Fund, Annuity Due, Future Value
of Annuity Due |
Section 5.4
|
Annuities,
Present Value, and Amortization |
|
|
Present Value of Ordinary
Annuity, Amortization Payments, Amortization
Schedule, Remaining Balance, Present Value of
Annuity Due; Coupon Rate |
8
|
Mar 1, 3 |
Section 6.1 |
Systems
of Two Linear Equations in Two Variables |
|
|
Substitution Method,
Elimination Method, Graph, Number of Solutions |
| Section 6.2 |
Larger
Systems of Linear Equations |
|
|
Substitution Method,
Elimination Method, Graph, Number of Solutions;
Augmented Matrix, Elementary Row
Operations, Gaussian Elimination,
Row-Echelon Form, Gauss-Jordan
Elimination, Reduced Row-Echelon Form |
| Section 6.3 |
Applications
of Systems of Linear Equations |
|
|
Applications |
9
|
Mar 8 |
Section 7.1 |
Graphing
Linear Inequalities in two Variables |
|
|
Graph of Inequality:
Boundary Line, Half-Plane; Graph of System of
Inequalities, Feasible Region |
| Section 7.2 |
Linear
Programming: The Graphical Method |
|
|
Linear
programming: Objective Function, Constraints;
Solving Linear Programming Problem Graphically:
Bounded and Unbounded Regions, Corner Points,
Corner Point Theorem |
| Section 7.3 |
Applications
of Linear Programming |
|
|
Applications |
| Mar
10 |
Sections
4.2-4.4, 5.1-5.4, 6.1-6.3 |
MIDTERM 2 |
|
|
|
10
|
Mar 22, 24
|
Section 11.1 |
Limits
|
|
Problems
|
Limit (Definition,
Examples), 0/0 Limits, Limit Laws, Calculating
Limits: Direct Substitution Property,
Factorization, Conjugate Trick; Limits that Do
Not Exist
|
| Section 11.2 |
One-sided
Limits and Limits Involving Infinity
|
|
Problems
|
One-sided Limits, Limits
of Piecewise Functions; Infinite Limits,
Vertical Asymptotes, Limits at Infinity,
Horizontal Asymptotes
|
| Section 11.3 |
Rates
of Change
|
|
Problems
|
Average Rate of Change,
Instantaneous Rate of Change, Marginal Cost,
Revenue and Profit
|
11
|
Mar
29, 31
|
Section 11.4 |
Tangent
Lines and Derivatives + EXCEL |
|
Slope of Tangent Line,
Derivative of Function, Existence of Derivative,
Price Elasticity of Demand
|
| Section 11.5 |
Techniques
for Finding Derivatives |
|
Problems
|
Basic Differentiation
Rules: Derivative of Constant Function, Power
Rule, Constant Multiple Rule, Sum/Difference
Rule; Marginal Analysis: Marginal Cost, Profit
and Revenue, Demand Function
|
| Section 11.6 |
Derivatives
of Products and Quotients |
|
Product Rule, Quotient
Rule; Average Cost, Marginal Average Cost
|
12
|
Apr 5, 7
|
Section 11.7 |
The
Chain Rule |
|
Problems
|
Composition of Functions;
Chain Rule, Applications, Marginal-Revenue
Product
|
| Section 11.8 |
Derivatives
of Exponential and Logarithmic Functions |
|
|
Derivatives of
Exponential Functions, Derivatives of
Logarithmic Functions, Applications
|
| Section 11.9 |
Continuity
and Differentiability |
|
|
Continuity at
Point, Continuity from Right/Left,
Continuity on Interval, Continuity and
Differentiability, Applications
|
13
|
Apr 12
|
Section 12.1 |
Derivatives
and Graphs |
|
|
Increasing/Decreasing
Functions, Critical Number,
Increasing/Decreasing Test, Local
Maximum/Minimum, Fermat’s Theorem, First
Derivative Test, Applications
|
| Apr 14 |
Section 12.2 |
The
Second Derivative |
|
|
Higher derivatives,
Concave Up/Down Functions, Inflection Point,
Concavity Test, Law of Diminishing Returns,
Second Derivative Test, Applications
|
14
|
Apr 19
|
Section 12.3 |
Optimization
Applications |
|
|
Absolute Maximum/Minimum,
Closed Interval Method, Critical-Point Theorem,
Optimization Applications |
| Apr 21 |
Section 13.1 |
Antiderivatives |
|
Problems |
Antiderivative (Definition,
Examples), Table of Indefinite Integrals,
Applications |
15
|
Apr 26, 28 |
Section 13.3 |
Area
and the Definite Integral |
|
|
Approximate Area of
Region by Rectangles, Definite Integral
(Definition, Examples), Net Area, Applications
(Total Change) |
| Section 13.4 |
The
Fundamental Theorem of Calculus |
|
|
Fundamental Theorem Of
Calculus, Properties of Definite Integral,
Examples (Definite Integral), Examples (Area),
Applications |
| Section 13.5 |
Applications
of Integrals |
|
|
Area Between Two Curves
and Applications, Consumers’ and Producers’
Surplus, Other Applications
|
16
|
May
4 (Wed), 3:30-6:30pm
|
|
FINAL EXAM
|
|
|
|
|