Math 109. Calculus 1b
Spring 2025
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Instructor:
Enrique Treviño
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Lectures: MTWF 10:00am-10:50am in BR 116 (MWF) and BR 121 (T).
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Office Hours: MTWF from 11am to 11:30am and R from 9am to 11:00am, and by appointment.
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Office:
Brown Hall 123
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Email:
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Phone Ext.: #6187
Announcements
There won't be class on Friday March 28. HW8 was thus moved from due March 28 to due March 31.
Carl Sagan Cosmos: Eratosthenes. In this short video Carl Sagan explains how Eratostehenes
calculated the circumference of the Earth. It also gives a nice visual giving a simple explanation that the Earth is round.
For your convenience, here's a link to the Homework page.
Course Description
(Calculus Ib: Transcendental Calculus.) This course is a continuation of Math 108 that further develops the concepts of calculus, such as differentiation and integration, to exponential, logarithm and trigonometric functions. Related topics in exponentiation and analytic geometry are covered as needed. Satisfactory completion of both Math 108 and Math 109 is equivalent to the satisfactory completion of Math 110. (Credit cannot be earned in both Math 109 and Math 110.) Prerequisite: Completion of Math 108 with a grade of C- or better, or permission of the instructor. This course is being offered on a pilot basis for the 2019-2020 academic year. (This course satisfies Quantitative Reasoning.)
Textbook
Calculus 1 with Precalculus (3rd edition) by Larson and Edwards.
Topics to be covered
The following is a tentative list of topics that will be covered:
Chapter 7: Exponential and Logarithmic Functions
7.1 Exponential Functions and Their Graphs
7.2 Logarithmic Functions and Their Graphs
7.3 Using Properties of Logarithms
7.4 Exponential and Logarithmic Equations
7.5 Exponential and Logarithmic Models
Chapter 8: Exponential and Logarithmic Functions and Calculus
8.1 Exponential Functions: Differentiation and Integration
8.2 Logarithmic Functions and Differentiation
8.3 Logarithmic Functions and Integration
8.4 Differential Equations: Growth and Decay
Chapter 9: Trigonometric Functions
9.1 Radian and Degree Measure
9.2 Trigonometric Functions: The Unit Circle
9.3 Right Triangle Trigonometry
9.4 Trigonometric Functions of Any Angle
9.5 Graphs of Sine and Cosine Functions
9.6 Graphs of Other Trigonometric Functions
9.7 Inverse Trigonometric Functions
9.8 Applications and Models
Chapter 10: Analytic Trigonometry
10.1 Using Fundamental Trigonometric Identities
10.2 Verifying Trigonometric Identities
10.3 Solving Trigonometric Identities
10.4 Sum and Difference Formulas
10.5 Multiple-Angle and Product-to-Sum Formulas
Chapter 11: Trigonometric Functions and Calculus
11.1 Limits of Trigonometric Functions
11.2 Trigonometric Functions: Differentiation
11.3 Trigonometric Functions: Integration
11.4 Inverse Trigonometric Functions: Differentiation
11.5 Inverse Trigonometric Functions: Integration
11.6 Hypoerblic Functions
Chapter 12: Topics in Analytic Geometry
12.1 Introduction to Conics: Parabolas
12.2 Ellipses and Implicit Differentiation
12.3 Hyperbolas and Implicit Differentiation
12.4 Parametric Equations and Calculus
12.5 Polar Coordinates and Calculus
12.6 Graphs of Polas Coordinates
12.7 Polar Equations of Conics
Chapter 13: Additional Topics in Trigonometry
13.1 Law of Sines
13.2 Law of Cosines
13.3 Vectors in the Plane
13.4 Vectors and Dot Products
13.5 Trigonometric Form of a Complex Number
Student Learning Outcomes
Some main learning outcomes include:
- Learn exponential and logarithmic functions. Be able to do differentiate them, integrate them and solve equations that deal with them.
- Learn trigonometric and inverse trigonometric functions. Be able to do differentiate them, integrate them and solve equations that deal with them.
- Learn how to apply the above to problems.
- Learn some analytic geometry.
In general, the student should be able to understand most of the topics covered in the class and be able to use the tools to solve new problems.
Grading
The course grade will be based on:
Homework 10%
Quizzes 15%,
Midterm 1 15%,
Midterm 2 15%,
Midterm 3 15%
Final Exam 30%.
Homework
There will be written homework weekly. The homework will be turned in and will reinforce the matertial learned in class. Collaboration in
the homework is permitted, however you must write your own solutions in your own words (or symbols). You must also support your answers with the intermediate
steps you took to reach the answer.
You can find the homework assignments
for this class below:
Homework.
Quizzes
There will be a weekly quiz. The quiz will be at the beginning of class on Fridays. The topics for each quiz come from the homework due the day of the quiz.
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 Friday February 14.
The second midterm will be on Friday March 21.
The third midterm will be on Friday April 11.
The final exam will be a cumulutive three hour exam.
The date for the final exam is Friday May 2 from 8:30am to 11:30am.
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.
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.
- Another important resource is the Quantitative Resource Center (QRC). You can find more information here and set up appointments for campus tutors here.
Description of instructional time and expectations:
This course meets 4 times per week for 4.0 hours per week. The course carries 1.0 course credit (equivalent to four semester credit hours).
Students are expected to devote a minimum of 12 hours of total work per week (in-class time plus out-of-class work) to this course.
Academic Honesty
Please read the College's information on Academic Honesty. If a student cheats in an exam,
quiz or homework assignment, I will proceed with charging the student with the Academic Honesty Judicial Board. The usual (first) penalty is a 0 in the assignment on which the
cheating occured plus some ethics lectures the student would take. The second penalty is usually suspension.
Academic Resources, Protocols, and Policies
Click here: Academic Resources, Protocols, and Policies
Last modified on March 17, 2025.