# Math 160. Math Methods and Applications

Summer 2015

• Instructor:         Enrique Treviño

• Lectures:           MTWR 09:00am-12:30am in Young Hall 423

• Office:               Young Hall 105

• Email:

• Phone Ext.:        #6187

Announcements

Final Practice Exam and its
Solutions.

Homework 7 is due on Wednesday July 1 at the beginning of class. It consists of the following exercises from the textbook:
Section 12.3: 7, 10, 28, 36.

Practice Exam 3 and its
Solutions.
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 6 is due on Tuesday June 30 at the beginning of class. It consists of the following exercises from the textbook:
Section 11.7: 2, 6, 8, 22, 26, 36, 50.
Section 11.8: 2, 8, 14, 16, 22, 28, 54, 68.
Homework 6 Solutions.

Homework 5 is due on Monday June 29 at the beginning of class. It consists of the following exercises from the textbook:
Section 11.1: 2, 12, 22, 32, 34, 36, 40.
Section 11.2: 2, 10, 12, 22, 24, 44, 48.
Section 11.3: 2, 4, 10 (a and b), 26.
Section 11.4: 2, 4, 16.
Section 11.5: 2, 4, 6, 10, 14, 16, 36, 38, 42, 44, 46, 50.
Section 11.6: 2, 4, 12, 18, 32, 44.
Homework 5 Solutions.

Homework 4 is due on Tuesday June 23 at the beginning of class. It consists of the following exercises from the textbook:
Section 4.1: 2, 14, 29, 38, 50.
Section 4.3: 2, 6, 10, 14, 16, 22, 24, 32, 48, 50, 70.
Section 5.1: 4, 6, 24.
Section 5.2: 8, 10, 12, 14, 20, 24, 36.
Homework 4 Solutions.

Compound Interest is an article I wrote working out section 5.2 in steps.

Practice Exam 2 and its
Solutions.
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 graphs of examples similar to the ones we did in class. You can see how 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 8 of section 3.4 (page 152).

Homework 3 is due on Monday June 22 at the beginning of class. It consists of the following exercises from the textbook:
Section 3.1: 6, 10, 14, 16, 24, 28, 50.
Section 3.2: 2, 6, 22, 32, 36, 48, 60.
Section 3.3: 2, 6, 10, 16, 18, 34, 46, 48, 50.
Section 3.4: 6, 10, 14, 18, 22, 26, 38, 42.
Section 3.5: 10, 16, 18, 22.
Homework 3 Solutions.

Midterm 1 will be on Wednesday at the beginning of class. The date changed from Tuesday to Wednesday.

Practice Exam 1 and its
Solutions.

Homework 2 is due on Wednesday June 17 at the beginning of class. It consists of the following exercises from the textbook:
Section 2.1: 4, 6, 8, 14, 16, 18, 24, 46.
Section 2.2: 2, 4, 10, 16, 18, 26, 28, 34, 2, 50, 58, 76.
Section 2.4: 4, 12, 20, 32, 38, 44.
Section 2.5: 2, 6, 16, 30, 44.
Homework 2 Solutions.

Homework 1 is due on Monday June 15 at the beginning of class. It consists of the following exercises from the textbook:
Section 1.2: 2, 10, 14, 18, 26, 40, 54.
Section 1.3: 2, 8, 12, 18, 40, 54, 72.
Section 1.4: 2, 10, 24, 32, 34, 38, 48, 56.
Section 1.5: 6, 12, 20, 26, 34, 44, 54.
Section 1.6: 2, 4, 6, 12, 16, 20, 34, 42, 64, 76, 78.
Section 1.7: 2, 12, 20, 26, 30, 48, 54.
Homework 1 Solutions.

Textbook

Mathematics with Applications (11th 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
1.6 First Degree 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
3.5 Polynomial Functions
3.6 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 Rates of Change
11.4 Tangent lines 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
12.1 Derivatives of Graphs
12.3 Optimization Applications

The course grade will be based on:
Homework   10%
Midterm 1   20%,
Midterm 2   20%,
Midterm 3   20%
Final Exam   30%.

Homework

There will be written homework daily. The homework will be turned in, and it is to reinforce the matertial learned in class. Collaboration in the homework is permitted, however you must write down your own solutions.
You can find the homeworks for this class here.

Exams

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 Wednesday June 17.

The second midterm will be on Wednesday June 24.

The third midterm will be on Tuesday June 30.

The final exam will be a cumulutive three hour exam.

The final exam is on July 2.

Attendance

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.

Class time

Class time is from 9am to 12:30pm instead of the usual 9am to 11:50am. The reason is that we have to account for the fact that there will be no class on the following dates: Wednesday June 10, Thursday June 11. We also have to take into account that the final is on Thursday July 2 instead of Friday July 3 (due to July 4th weekend). To account for three class days being missed we are adding 40 minutes of lecture time to each class so that we meet the required number of hours to get credit for a class in Lake Forest College.

Resources

• You can come to my office to ask questions.
If you want to ensure I'll be in my office, you can email me to set up an appointment to meet with me at a convenient time.
• For all these topics there are videos on YouTube explaining the topics. I highly recommend using the videos from the Khan academy.
• Another useful online resource is Math tutor.

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 http://www.lakeforest.edu/academics/resources/disability/.

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.

Summer policies, registration, etc.

If you are a student visiting the College from another institution or a high school, or a community member, please direct any questions about Access Summer policies, registration, billing, etc., to summer@lakeforest.edu.