Summer 2015

Differential Calculus with Applications

TIME AND LOCATION: Monday and Wednesday, 18:00 to 21:00 in VH D.

INSTRUCTOR: Cesar Ceballos, 2026 TEL Building, tel. 736-2100 ext 33545, e-mail:

OFFICE HOURS: Monday and Wednesday, 17:00 to 17:50 before class in 2025 TEL Building (or contact me by email).

WEB PAGE: We will post course information, announcements and homework assignments in the web page for this course:
You are expected to check this web page weekly

REQUIRED TEXTS: (1) S. O. Kochman, Single Variable Calculus: Concepts, Applications and Theory, Prentice Hall, Fourth Edition, 2011.
(2) S. O. Kochman, Student Manual for Single Variable Calculus: Concepts, Applications and Theory, Prentice Hall, Fourth Edition, 2011.
Optional aid: V. Mishkin, Student Manual for Math 1300, contains solutions to all the Basic Exercises of the sections covered in Math 1300.

SYLLABUS: We will study the following sections: Chapter 1: sections 1-7; Chapter 2: sections 1-10,12; Chapter 3: sections 1-4. Note we will not cover all the sections of each chapter.
Calculus studies functions. Differential calculus studies the tangent lines to their graphs while integral calculus studies the areas under their graphs. Limits are used to define the derivative and integral. We will develop formulas for computing derivatives. Consequences of the Mean Value Theorem will be used to find local extrema and to sketch curves. Applications of the derivative will be made by interpreting it as a rate of change. The Fundamental Theorem of Calculus will be used to evaluate integrals, and integrals will be applied to compute areas. Other applications of integrals will be studied in Math 1310. A more detailed list of topics is contained in the table of contents of the text.

Prerequisites: MATH 1515 3.00, MATH 1520 3.00, AK/MATH 1700 6.00, high school calculus course, or equivalent.

HOMEWORK: You are expected to do all of the assigned homework. Parts of the exams and the quizzes will be similar to the suggested exercises (with some minor modifications). A link to the list of suggested homework problems is posted in the web page for this course. Homework will not be collected.

EXAMPLES: You are expected to review the examples, associated with each section we study, on the CD included with the Student Manual. Some examples will be studied in class when we discuss the relevant topic.

MATH LAB: Assistance with mathematical questions on the course or the homework is available at the Mathematics and Statistics Laboratory, room S525 Ross, Monday to Friday, 10:30 a.m. to 3:30 p.m. Additional assistance is available at PASS ( and PEER TUTORING (

QUIZZES: The quizzes on the Tentative Schedule will be given at the end of the class. Each quiz is based on the assigned homework for the indicated section(s). There are a maximum of four quizzes.

EXAMS: There will be two one-hour midterm exams as noted in the Tentative Schedule, and a three-hour final exam during June 30-July 3 scheduled by the Office of the Registrar. The midterms will be given at the end of class. Detailed information on each exam will be posted on the course webpage.

EVALUATION: The final exam counts as 40% of your mark, each midterm exam counts as 20% of your mark and the quizzes count as 20% of your mark.

IMPORTANT INFORMATION FOR STUDENTS The departmental webpage has links to information on Access/Disabilities, Religious Observance Accommodation and Academic Integrity:

IMPORTANT DATES: Add deadline without my permission: May 25. Add deadline with my permission: June 2. Drop deadline: June 16.