Homework Assignments for Ohio University MATH 1350
2024 Summer Session Course Taught by Kingsley Osae
- This Homework List refers to Sections in the 14th Edition of the textbook
Textbook Information for the 2023 - 2024 Academic Year MATH 1350
Title: Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version, 14 th Edition
Authors: Barnett, Ziegler, Byleen, Stocker
Publisher: Pearson, 2019
Obtaining the Textbook
Ohio University MATH 1350 is part of the Inclusive Access Program at Ohio University. That means that when students register for MATH 1350, they automatically get access to the MyLab Math system run by Pearson , the publisher of the textbook. Students also get access to an online eText copy of the textbook.
For more information about the Inclusive Access Program , click on this link: ( Information about the Inclusive Access Program )
For more information about accessing the MyLab Math System and the online eText , click on this link: ( Accessing My Lab Math )
- The 20 Homework Assignments listed below were created in the MyLab Math system by Mark Barsamian at Ohio University. The Homework Assignments are available to be copied by other instructors at other institutions. Contact Mark Barsamian for more information.
- The list contains links to Instructional Videos that were created by Mark Barsamian, and are accessible on YouTube . There are a lot of videos, because each video is about a single concept and the course covers a lot of concepts. (Homework problems that are about prerequisite material generally do not have accompanying videos.)
- For each video, there is an accompanying link called Video Notes . This link will take you to a PDF file containing the notes produced in the Video.
Homework for Introductory Material and Section 2.1 Limits
Whole List:
- 1.1 # 39,44
- 1.2 # 11,13,19,29
- 1.4 # 3,11,13
- 2.1 # 5,8,15,16,21,23,33,35,37,41,47,49,53,57,59,61,63,67,69,71,73*,75*,81,83,91
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Using the online MyLab Math System (0.1 #1,2,3,4,5,6,7,8,9)
- Functions, Graphs, Factoring (1.1#39,44) (1.2#11,13,19,29) (1.4#3,11,13) (2.1#5,8)
- Limits from a Graphical Perspective ( video ) ( notes ) (2.1#15,16,21,23,47,49)
- Using Theorem 2 Limit Properties to find Limits ( video ) ( notes ) (2.1#33,35,37,41,75*) (An asterisk * indicates that the problem is assigned but is not in the MyLab Math Homework System. Find the problem in the online textbook for the course.)
- Limits of Piecewise-Defined Functions ( video ) ( notes ) (2.1#53,57,91)
- Limits That Involve Cancelling Inside the Limit ( video ) ( notes ) (2.1#59,61,63,73*)
- Limits of Difference Quotients ( video ) ( notes ) (2.1#81,83)
- Conceptual Questions (2.1#67,69,71)
Homework for Section 2.2 Infinite Limits and Limits at Infinity
Whole List:
- 2.2 # 1,3,9,11,13,15,17,19,21,23,27,30,32,33,37,39,41,43*,45*,51,53,55,57,59,61,63,67,68,69,71,85,86*,88*
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Prerequisite Skills: Equations for Horizontal & Vertical Lines (2.2#1,3)
- Given graph of \( f \), find limit ( video ) ( notes ) (2.2#9,11,13,15)
- Given formula for \( f \), find limit ( video ) ( notes ) (2.2#17,19,21,23,41,43*,45*)
- Polynomial End Behavior ( video ) ( notes ) (2.2#27,30,32)
- Limits at Infinity; End Behavior ( video ) ( notes ) (2.2#33,37,39,67,68,69,71)
- Applied: Time Going to Infinity ( video ) ( notes ) (2.2#85,86*,88*)
- Find all horizontal & vertical asymptotes ( video ) ( notes ) (2.2#51,53,55,57,59,61,63)
Homework for Section 2.3 Continuity
Whole List:
- 2.3 # 1,2,4,11,13,19,20,27,35,37,47,49,51,53,55,69,77,79,81,85
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Given graph of \( f \), find limit and continuity behavior ( video ) ( notes ) (2.3#19,20,27)
- Given specified limit behavior of \(f\), sketch graph and discuss continuity of \(f\) ( video ) ( notes ) (2.3#11,13)
- Prerequisite Skills: Interval Notation (2.3#1,2,4)
- Given formula for \( f \), where is \( f \) continuous? ( video ) ( notes ) (2.3#35,37,69)
- Positive and Negative Behavior of Graphs of Functions ( video ) ( notes ) (2.3#55,85)
- Sign Behavior of Functions and Solving Inequalities ( video ) ( notes ) (2.3#47,49,51,53)
- Conceptual Questions about Continuity (2.3#77,79,81)
Homework for Section 2.4 The Derivative
Whole List:
- 1.1 # 61,63,73,78
- 1.3 # 9,13,21,33,37,39
- 2.2 # 5,6,7,8
- 2.4 # 1,9,11,13,19,21,27,29,35,37,45,47
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Prerequisite Skills: Line Equations (1.3#9,13,21,33,37,39) (2.2#5,6,7,8)(2.4#1)
- Prerequisite Skills: Building and Simplifying Expressions ( video ) ( notes ) (1.1#61,63,73,78)
- Secant & Tangent Line Slopes ( video ) ( notes ) (2.4#9,11,13,45,47)
- Computing \( f' \) for Polynomial Functions ( video ) ( notes ) (2.4#19,21,27,29)
- Computing \( f'(x) \) for \( \frac{1}{x} \) and \( \sqrt{x} \) type functions ( video ) ( notes ) (2.4#35,37)
Homework for Section 2.5 Basic Differentiation Properties
Whole List:
- 2.4#15,17
- 2.5#1,2,4,5,9,11,13,15,17,19,35,37,39,45,51,53,55,59,63,81, 89,91,97
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Prerequisite Skills: Rewrite as power function (2.5#1,2,4,5)
- Constant Function Rule and Power Rule ( video ) ( notes ) (2.5#9,11,13,15,17,19)
- Sum Rule, Constant Multiple Rule, Power Rule ( video ) ( notes ) (2.5#35,37,39)
- Rewrite function in power function form , then differentiate ( video ) ( notes ) (2.5#45,51,53,55,81)
- Tangent Line and Instantaneous Velocity ( video ) ( notes ) (2.4#15,17) (2.5#59,63)
- Applied Problems ( video ) ( notes ) (2.5#89,91,97)
Homework for Section 2.7 Marginal Analysis in Business and Economics
Whole List:
- 2.7 # 4*,5,6*,9,13,17,33,43
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Skills Warmup: Computing Cost ( video ) ( notes ) (2.7#4*,5,6*)
- Computing Marginal Quantities ( video ) ( notes ) (2.7#9,13,17)
- Using Marginal Quantities to Estimate Change in Quantities ( video ) ( notes ) (2.7#33,43)
Homework for Section 3.1 The Constant \(e\) and Continously-Compounded Interest
Whole List:
- 3.1 # 11,21,23*,27,29,31,35,37,43,45
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- The number \( e \) and the function \( e^{(x)} \) ( video ) ( notes ) (3.1#21,23*)
- Continuously Compounded Interest ( video ) ( notes ) (3.1#11,27,29,31,35,37)
- Radioactive Decay ( video ) ( notes ) (3.1#43,45)
Homework for Section 3.2 Derivatives of Exponential and Logarithmic Functions
Whole List:
- 3.2 # 13,15,21,28,31,33,35,43,44,49,51*,53*,55,57,67,75
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Derivatives of Exponential Functions ( video ) ( notes ) (3.2#13,28,49,51*,53*,57)
- Tangent Line Problems and Applied Problems Involving Exponential Functions ( video ) ( notes ) (3.2#33,67,75)
- Prerequisite Skills: Rewriting Logarithmic Expressions (3.2#7,8*,9*,10)
- Differentiating Logarithmic Functions ( video ) ( notes ) (3.2#15,21,43,44,51*,55)
- Tangent Line Problems involving Logarithmic Functions ( video ) ( notes ) (3.2#31,35)
Homework for Section 3.3 Derivatives of Products and Quotients
Whole List:
- 3.3 # 17,19,21,25,31,33,55,59*,63,69,73,93
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Derivatives of Products ( video ) ( notes ) (3.3#17,19,21,55)
- Derivatives of Quotients ( video ) ( notes ) (3.3#25,31,33,69)
- Trick: Rewrite First to Eliminate Quotient ( video ) ( notes ) (3.3#59*,73)
- Tangent Line and Applied Problems Involving Quotients ( video ) ( notes ) (3.3#63,93)
Homework for Section 3.4 The Chain Rule
Whole List:
- 3.4 # 21,25,27,29,33,37,39,40,47,55,67,79,91,95
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Chain Rule Problems with Power Function Outer Function ( video ) ( notes ) (3.4#21,27,29,33,37,55,67)
- Chain Rule Problems with Exponential or Logarithmic Outer Function ( video ) ( notes ) (3.4#25,39,40)
- Applied Problems Involving the Chain Rule ( video ) ( notes ) (3.4#91,95)
- Product Rule then Chain Rule ( video ) ( notes ) (3.4#47,79)
Homework for Section 4.1 First Derivative and Graphs
Whole List:
- 4.1#9,11,13*,14*,17,19,21,23,25*,27,29,31*,43,45,49,51*,53,55,61,65,77,83,85,97
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Increasing and Decreasing Behavior of Functions from a Graphical Perspective ( video ) ( notes ) (4.1#9,11,13*,14*,19,21,23,25*,61,65,83)
- Increasing and Decreasing Intervals for a Function Given by a Formula ( video ) ( notes ) (4.1#49,51*,53,55)
- Partition numbers for \( f'(x) \); Critical Numbers for \( f(x) \) ( video ) ( notes ) (4.1#27,29,31*)
- Local Extrema and The First Derivative Test ( video ) ( notes ) (4.1#17,43,45,77,85,97)
Homework for Section 4.2 Second Derivative and Graphs
Whole List:
- 4.2 # 9,13,14,15,16,17,19,33,35,37,45,49,57,77
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Introduction to Concavity ( video ) ( notes ) (4.2#9,13,14,15,16)
- Finding Second Derivatives ( video ) ( notes ) (4.2#17,19)
- Given formula for \( f \), determine concavity and find inflection points ( video ) ( notes ) (4.2#33,35,37)
- Graphing ( video ) ( notes ) (4.2#45,49,57,77)
Homework for Section 4.5 Absolute Maxima and Minima
Whole List:
- 4.5 # 9,11,15,17,18,26,35,43,49,51,53*,67,73,79
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Identifying Local and Absolute Extrema on a Graph ( video ) ( notes ) (4.5#9,11,15,17,18)
- Closed Interval Method ( video ) ( notes ) (4.5#26,67)
- Finding Absolute Extrema on General Intervals; the 2nd Derivative Test ( video ) ( notes ) (4.5#35,43,49,51,53*,73,79)
Homework for Section 4.6 Optimization
Whole List:
- 4.6 # 13,15,17,19,25,27,33,34*,35,36*
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Single Variable Optimization Problems about Maximizing Revenue and Profit ( video ) ( notes ) (4.6#19,25,27)
- Two Variable Abstract Max Min Problems ( video ) ( notes ) (4.6#9,13,15,17)
- Two Variable Applied Max Min Fence Problems ( video ) ( notes ) (4.6#33,34*,35,36*)
Homework for Section 5.1 Antiderivatives and Indefinite Integrals
Whole List:
- Homework Problems in MyLab: 5.1 # 1,6,9,11,13,17,19,21,23,35,37,39
- Homework Problems in Book but not in MyLab 5.1#3,25,27,28,29,31,33,34,36,38,41,43,45,47,49,51,53,55,61
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Prerequisite Skills: Rewrite Function in Power Function Form (5.1#1,3*,6)
- Is one function an antiderivative of another?
( video
)
( notes
)
- Homework Problems in MyLab: 5.1#35,37
- Homework Problems in Book but not in MyLab 5.1#25,27,28,29,31,33,34,36,38
- Graphs of antiderivatives of a function ( video ) ( notes ) (5.1#39,41*)
- Basic Indefinite Integrals ( video ) ( notes ) (5.1#9,11,13,17,19,21,23)
- Rewrite the Integrand First! ( video ) ( notes ) ( discussion activity ) (5.1#43,45,47,49,51,53)
- Find Particular Antiderivative Satisfying Extra Condition ( video ) ( notes ) (5.1#55,61)
Homework for Section 5.2 Integration by Substitution
Whole List:
- 5.2 # 3,5*,7,11,15,17,19,23,27,29,31,33,41,65,67
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Review of Chain Rule Derivatives (5.2#3,5*,7)
- Basic Substitution Integrals: No Multiplicative Constant after Substitution ( video ) ( notes ) ( discussion activity ) (5.2#11,15,17,19)
- Harder Substitution Integrals: Leftover Multiplicative Constant ( video ) ( notes ) (5.2#23,27,29,31,33,41,65,67)
Homework for Section 5.4 The Definite Integral
Whole List (All are in MyLab):
- Barnett 5.4 # 7,13,17,19,33,41,45,49,51,53
- Briggs & Cochran 5.1 # 13,23,30
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Approximating areas with Sums ( video ) ( notes ) (Barnett 5.4#7,13,17,19, Briggs & Cochran 5.1#13,23,30)
- Using Properties of the Definite Integral ( video ) ( notes ) (5.4#33,41,45,49,51,53)
Homework for Section 5.5 The Fundamental Theorem of Calculus
Whole List:
- 5.5 # 13,15,17,19,21,23,27,29,31,35,36*,37,39,45,49,51,69,70,89,93
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Basic Definite Integrals Using the Fundamental Theorem of Calculus ( video ) ( notes ) (5.5#13,15,17,19,21,23,27,29,31,35,36*)
- Definite Integrals Involving Substitution ( video ) ( notes ) (5.5#37,39,45)
- Using the Definite Integral to Solve Total Change Problems ( video ) ( notes ) (5.5#69,70,89)
- The Average Value of a Function Over an Interval ( video ) ( notes ) (5.5#49,51,93)
Homework for Section 6.1 Area Between Curves
Whole List (All are in MyLab):
- Barnett 6.1 # 9,11,17,21,23,25,37,53,55,57,83,85,89,91
- Briggs & Cochran 6.2#9,42,46
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Area between a curve and the x axis ( video ) ( notes ) (6.1#9,11,17,21,23,25,57)
- Area between two curves
( video
)
( notes
)
- Barnett 6.1#37,53,55
- Briggs & Cochran 6.2#9,42,46
- Applications of the Area Between Curves: Total Change Problems ( video ) ( notes ) (6.1#89,91)
- Applications of the Area Between Curves: Gini Index ( video ) ( notes ) (6.1#83,85)
Homework for Section 6.2 Applications in Business and Economics
Whole List:
- Barnett 6.2 # 37,39*,41,43*,45,47,49,51,67,69,71*,73,75*,77,78*
- Lial 7.5#35
Listed by Topic, with Links to Accompanying Videos on Each Topic:
- Total Income for a Continuous Income Stream ( video ) ( notes ) (6.2#37,39*,41,43*)
- Future Value and Present Value of a Continuous Income Stream ( video ) ( notes ) (6.2#45,47,49,51,67)
- Consumers� Surplus ( video ) ( notes ) (6.2#69,71*)
- Producers� Surplus ( video ) ( notes ) (6.2#73,75*)
- Equilibrium Price
( video
)
( notes
)
- Barnett 6.2#77,78*
- Lial 7.5#35
(page maintained by Mark Barsamian , last updated May 9, 2024)