MATHEMATICS2110-<section number>
CALCULUS I
Semester, Year>
<days, time, location>
Instructor: <name>
Office: <location>
Office phone: <number only if you have an actual office
Office hours: <days, times, and location
Tutorial center hours: <days, times, and location
Tutorial center phone: 323-343-5374
Email: <university email address>
Math 2111-<section#>: <days, time, location>
Final Exam: <date, time, location
General course description: Prerequisites: MATH 1040 with a minimum C grade, or MATH 1081 and MATH 1083 both with a minimum C grade, or satisfactory score on placement examination; students with a grade of less than B- in either MATH 1040, or in one of MATH 1081 or MATH 1083 must enroll concurrently in MATH 2111. Functions, graphs, limits, continuity, derivatives, applications of the derivative, anti-differentiation, definite integral, Fundamental Theorem of Calculus, integration by substitution, applications of the integral.
Textbook: Calculus: Early Transcendental 2nd ed. Briggs, Cochran, Gillett.
1. ebook and MyMathLab: ISBN 978-0-321-19991-1 available at
Other Options:
2. Hard copy with MyMathLab: ISBN 978-0-321-96516-5
3. Hard copy only: ISBN 978-0-321-94734-5
Topical outline: limits, continuity, rules for differentiation, applications of derivatives, such as related rates problems, optimization problems, and sketching the graph of a function;anti-derivatives and indefinite integral; limit definition of the integral; the fundamental theorem of calculus and definite integrals; integration by substitution; Applications of the integral such as areas between curves; volumes of surfaces of revolution; arc length; Numerical integration; Newton's method.
Student Learning Outcomes: Students who successfully complete Math 2110 will be able to:
1. Calculate limits graphically, numerically, and algebraically.
2. Understand and apply the definition of continuity.
3. Calculate the derivative of a function using the definition and the various rules of differentiation.
4. Solve related rates problems and minimization/maximization problems.
5. Understand the intermediate value theorem and the mean value theorem.
6. Use the derivative to sketch the graph of a function.
7. Compute basic antiderivatives.
8. Understand the definition of the integral of a function.
9. Compute definite and indefinite integrals of basic functions.
10. Use the method of substitution to calculate integrals.
11. Compute the area between two curves and the volume of a solid of revolution.
12. Compute the arc length of a curve.
Requirements: <attendance, assignments, homework, quizzes, tests, etc>
Grading system: <instructor’s grading system>
ADA statement: Reasonable accommodation will be provided to any student who is registered with the Office of Students with Disabilities and requests needed accommodation.
Academic honesty statement: Students are expected to do their own work. Copying the work of others, cheating on exams, and similar violations will be reported to the University Discipline Officer, who has the authority to take disciplinary actions against students who violate the standards of academic honesty.
Student responsibilities: Students are responsible for being aware of all announcements that are made in class, such as changes in exam dates, due dates of homework and papers, and cancellation of class due to instructor’s absence. Students are responsible for announcements made on days that they are absent.
Students must check their CSULA email account regularly for information from the instructor and the Department. Failure to do so may result in missed deadlines or other consequences that might adversely affect students. Note that you can forward this email account to any other account of your choosing.