Math 160. Math Methods and Applications

Summer 2014


The final will be in room YH 320 on Tuesday June 3 from 9am to 12pm. You will take the final exam with the students taking an ECON final. The proctor will be professor Kent Grote. He is informed that you are allowed half a cheat sheet. You will be provided with the usual calculators.

Final Practice Exam and its

Practice Exam 3 and its
NOTE: The solutions are not numbered the same way (they are in the same order). The solution to 3f is in the last page.

Homework 12 is due on Friday May 30, 2014:
Section 11.8: 1, 5, 11, 12, 15, 17.

There's no class on Monday because it is Memorial Day

Practice Exam 2 and its
NOTE: The solutions are not numbered the same way (they are in the same order). The solutions to 8 are not included since the table of those solutions is on the compound interest lecture notes.

On the following link you can find the actual graphs of the examples we did in class. You can see they have the same shape.

The word problem worksheet is here, and its solutions are here. Note that the answer for part d in exercise 1 should be 2010 instead of 2011 (since the overtake happens during 2010 around November). Also note that I didn't include the solution to the fifth exercise because it's example 3 of section 3.5 (page 178).

Practice Exam 1 and its


Mathematics with Applications (10th edition) by Lial, Hungerford, Holcomb.

Topics to be covered

The following is a tentative list of topics that will be covered:

Chapter 1: Algebra and Equations
1.2 Polynomials
1.3 Factoring
1.4 Rational Expressions
1.5 Exponents and Radicals
1.6 First Degree Equations
1.7 Quadratic Equations

Chapter 2: Graphs Lines and Inequalities
2.1 Graphs
2.2 Equations of Lines
2.4 Linear Inequalities
2.5 Polynomials & Rational Inequalities

Chapter 3: Functions and Graphs
3.1 Functions
3.2 Graphs of Functions
3.3 Applications of Linear Functions
3.4 Quadratic Functions
3.5 Applications of Quadratic Functions
3.6 Polynomial Functions
3.7 Rational Functions

Chapter 4: Exponents and Logs
4.1 Exponential Functions
4.2 Applications of Exponential Functions
4.3 Logarithmic functions
4.4 Applications of Logarithmic Functions

Chapter 5: Mathematics of Finance
5.1 Simple Interest and Discount
5.2 Compund Interest
5.3 Annuities, Future Value, and Sinking Funds
5.4 Annuities, Present Value, and Amortization

Chapter 11: Differential Calculus
11.1 Limits
11.2 One-sided Limits & Limits to Infinity
11.3 Rate of Change
11.4 Tangents and Derivatives
11.5 Techniques for Finding Derivatives
11.6 Derivatives of Products & Quotients
11.7 Chain Rule
11.8 Derivative of Exponents & Logs

Chapters 12 & 13
12.1 Derivatives of Graphs
13.1 Antiderivatives


The course grade will be based on:
Midterm 1   20%,
Midterm 2   20%,
Midterm 3   20%
Final Exam   40%.


There will be written homework daily. The homework will not be turned in, as it is to reinforce the matertial learned in class. Collaboration in the homework is permitted.
You can find the homeworks for this class here.


On the midterms and the final exam you must work on the problems on your own. No collaboration permitted in the exams. Also, no calculators or notes are permitted. I will provide simple calculators in the exam.
The first midterm will be on Monday May 19.

The second midterm will be on Friday May 23.

The third midterm will be on Friday May 30.

The final exam will be a cumulutive three hour exam.

The dates for the final exam is June 3.


Students are expected to come to every lecture and every exam. If the dates of the exams conflict with Lake Forest approved events, inform me as soon as possible.


Accommodations Statement

If you believe that you need accommodations for a disability, please consult with The Learning and Teaching Center. Since accommodations may require early planning and are not retroactive, please contact the center as soon as possible. For details about the services for students with disabilities and the accomodations process, visit

You are also welcome to contact me privately to discuss your academic needs. However, all disability-related accommodations must be arranged through Teryn Robinson at the Learning and Teaching Center.

Last modified on May 31, 2014.