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, PointSlope
Equation, SlopeIntercept
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), BreakEven
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, 3.13.6, 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; ZeroCoupon 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,
RowEchelon Form, GaussJordan
Elimination, Reduced RowEchelon 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, HalfPlane; 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
4.24.4, 5.15.4, 6.16.3 
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 
Onesided
Limits and Limits Involving Infinity


Problems

Onesided 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, MarginalRevenue
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, CriticalPoint 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), 3:306:30pm


FINAL EXAM




