LSU College Readiness Program
COURSE PROFILE
COURSE NAME:
PRIMARY ONLINE
CONTENT SOURCE
COURSE/UNIT CREDIT:
GRADE(S):
PREREQUISITE(S):
LSU Math 1431 Business Calculus (1 semester)
Calculus for Business, Economics, Life, and Social Sciences,
12e, MyMathLab
Barnett, Ziegler, Byleen
½ Carnegie Unit
11 or 12
Successful Completion of Advanced Math - Precalculus
1 – Linear Equations and Graphs
2 – Functions and Graphs
3 – Limits and the Derivative
4 – Additional Derivative Topics
CHAPTERS
5 – Graphing and Optimization
6 – Integration
7 – Additional Integration
SECTION NAMES (NUMBER OF EXERCISES) AND LEARNING OBJECTIVES
CHAPTER 1: Linear Equations and Graphs
1.2 Graphs and Lines (29)
Determine whether the slope of a line is positive, negative, zero, or undefined
Graph equations
Recognize the placement of slope and y-intercept in the slope-intercept form of a line
Use the graph of a line to write its equation
Find the slope of an equation written in standard form
Find the x- and y-intercepts of the graph of a line
Write equations for vertical and horizontal lines
Write the equation of a line given the slope and a point
Write the equation of a line given two points
Solve applications
CHAPTER 2: Functions and Graphs
2.1 Functions (19)
Use points on a graph to identify input and output values
Evaluate functions
Find the domain of a function
Solve applications
2.5 Exponential Functions (12)
Graph exponential functions
Use properties of exponential functions to solve equations
Solve equations involving exponentials
Solve applications
CHAPTER 3: Limits and the Derivative
3.1 Introduction to Limits (26)
Use the graph of a function to estimate limits and function values
Use the properties of limits to find limits algebraically
Sketch the graph of a function using limits and function values
Find the limit of a difference quotient
Solve application problems
3.2 Infinite Limits and Limits at Infinity (32)
Find infinite limits and limits at infinity using a graph
Find limits of rational functions
Find limits of functions at infinity
Describe the behavior of a rational function
Find horizontal and vertical asymptotes
Evaluate limits using properties of limits
Solve application problems
3.3 Continuity (19)
Sketch the graph of a function using limits and function values
Use the definition of continuity
Use continuity properties of functions
Use continuity properties to solve inequalities
Solve application problems
3.4 The Derivative (18)
Find average and instantaneous rates of change
Use the four-step process to find the derivative of a function
Find average and instantaneous velocities
Find the slopes of secant and tangent lines
Determine where a function is differentiable or nondifferentiable
Solve application problems
3.5 Basic Differentiation Property (34)
Use basic differentiation properties
Differentiate a constant or a constant times a function
Find slopes of tangent lines
Find slopes of tangent lines and values of x where the tangent line is horizontal
Solve application problems
3.7 Marginal Analysis (14)
Find marginal cost, revenue, and profit functions
Solve application problems
CHAPTER 4: Additional Derivative Topics
4.1 Continuous Compound Interest (14)
Solve equations and evaluate expressions with the constant e
Graph equations with continuous compounding
Solve applications
Determine the future value of a lump sum of money
Solve continuous compounding problems
Solve applied problems involving compound interest
Determine the present value of a lump sum of money
4.2 Derivatives of Exponential and Logarithmic Functions (14)
Find derivatives involving exponential and logarithmic functions
Find equations of lines tangent to graphs at particular values
Solve application problems
4.3 Derivatives of Products and Quotients (32)
Find derivatives of products
Differentiate using the product rule
Use the product rule
Find derivatives of quotients
Use the quotient rule
Solve application problems
4.4 The Chain Rule (32)
Work with composite functions
Use the general power rule to find derivatives
Use the chain rule to find derivatives
Solve application problems
4.7 Elasticity of Demand (9)
Find the elasticity of demand
Determine whether demand is elastic, inelastic, or has unit elasticity
Find values for which demand is elastic and inelastic
Solve application problems
CHAPTER 5: Graphing and Optimization
5.1 First Derivatives and Graphs (30)
Find intervals on which functions are increasing and decreasing
Find local extrema
Create sign charts for graphs of functions
Find critical values of functions
Sketch graphs of functions
Solve application problems
5.2 Second Derivatives and Graphs (21)
Identify particular intervals of graphs of functions
Find inflection points
Graph function given descriptions
Find inflection points and determine concavity algebraically
Use curve sketching techniques
Solve application problems
5.5 Absolute Maxima and Minima (18)
Find absolute extrema of a function
5.6a Optimization, Geometric Applications (11)
Optimize the product of two numbers
Solve area and perimeter optimization problems
Solve construction cost optimization problems
Solve geometric optimization problems
5.6b Optimization, Business Applications (10)
Solve maximizing revenue and profit problems
Solve inventory control optimization problems
CHAPTER 6: Integration
6.1 Antiderivatives and Indefinite Integral (30)
Identify antiderivatives and indefinite integrals
Find particular antiderivatives
Solve application problems
6.2 Integration by Substitution (20)
Reverse the chain rule to find indefinite integrals
Use the method of substitution to find antiderivatives and indefinite integrals
Solve application problems
6.4 The Definite Integral (14)
Identify rectangles under curves
Graph and identify areas by left and right sums
Calculate Riemann sums
Use properties of the definite integral
6.5a Fundamental Theorem of Calculus, Basic (20)
Compare changes in a function with the area under the graph of the function's derivative
Use the Fundamental Theorem of Calculus to calculate the definite integral of a function
Solve application problems
Determine the average value of functions
Find average values of functions over intervals
6.5b Fundamental Theorem of Calculus, Substitution (13)
Evaluate integrals using the Fundamental Theorem of Calculus
Evaluate definite integrals
Evaluate integrals using substitution
Solve application problems
CHAPTER 7: Additional Integration
7.1 Area between Curves (23)
Set up a definite integral to represent a shaded area
Find the area between two curves
Find the area under the graphs of nonnegative functions over closed intervals
7.2 Applications (13)
Solve continuous income stream problems
Find the future value of a continuous income stream
Solve consumers' and producers' surplus problems
Find equilibrium points, the consumer surplus, and the producer surplus