Math 226.06: |
Calculus I, Fall 2016 |

Instructor: |
Sergei Ovchinnikov, TH 931, office hours: TuTh 11:00-12:00, phone: 81387, e-mail: sergei@sfsu.edu (please restrict the use of email and voicemail only to important matters). |

Textbook: |
THOMAS' CALCULUS, Early Transcendentals, by Weir and Hass, 2014. |

**Prerequisites**:

Satisfactory completion of ELM requirement, acceptable score on the Calculus readiness test (read instructions here READINESS TEST) and one of the following:

Option 1: MATH 199 or equivalent with a grade of C or better.

Option 2: Passing a high school math analysis or pre-calculus class with a grade of B or better.

**Course Syllabus**:

Chapter 2 | Limits and Continuity, 2.1, 2.2, 2.4-2.6 |

Chapter 3 | Differentiation, 3.1-3.9, 3.11 |

Chapter 4 | Applications of Derivatives, 4.1-4.6, 4.8 |

Chapter 5 | Integration, 5.1-5.4 |

**Bulletin Description:**

The first semester of Calculus: limits, continuity, derivatives, rules of differentiation, applications of differentiation, optimization, L’Hospital’s Rule, curve sketching, integration, the Fundamental Theorem of Calculus.

**Course Objectives:**

Students entering Calculus I should have a firm grasp of algebra and trigonometry.
They should be able to graph elementary algebraic and transcendental functions and their inverses.
Students should also be able to solve inequalities and equations involving exponential, logarithmic
and trigonometric functions.

The main objective of Calculus I is for students to learn the basics of the calculus of
functions of one variable. They will study transcendental functions, limits, differentiation and an
introduction to the Riemann integral, culminating with the Fundamental Theorem of Calculus. They will
also apply these ideas to a wide range of problems that include the equations of motion, related rates,
curve sketching and optimization. The students should be able to interpret the concepts of Calculus
algebraically, graphically and verbally.

More generally, the students will improve their ability to think critically, to analyze a problem
and solve it using a wide array of tools. These skills will be invaluable to them in whatever path
they choose to follow, be it as a mathematics major or in pursuit of a career in one of the other sciences.

Upon successful completion of the course, students should be able to

- Evaluate a variety of limits, including limits at infinity, one-sided limits, and limits of indeterminate forms. Students should also be able to identify discontinuities in functions presented algebraically or graphically.
- Apply the definition of derivative to calculate and estimate derivatives from formulas, graphs, or data.
- Differentiate sums, products and quotients of composite polynomial, trigonometric, exponential, and logarithmic functions.
- Discuss the conceptual relations among derivatives, rates of change, and tangent lines in the context of an applied example.
- Use asymptotes, first and second derivatives to graph functions.
- Solve applied problems using calculus and justify answers.
- Estimate a definite integral with a Riemann sum.
- Evaluate a simple definite integral using the Fundamental Theorem of Calculus.

**Course Organization:**

I will cover new material in the TuTh lectures. Your TA, Arash Farahmand (arash86@sfsu.edu), will lead the Wednesday discussion sections. These will be devoted to going over homework problems, directed activities, and presentation of some new material. Attendance of the discussion section is mandatory.

**Homework** is essential for learning and mastering mathematics. This requires a steady effort
throughout the semester rather than sporadic intense efforts. The average student should expect to
devote at least two hours of study for each hour of class time. Homework will consist of online
assignments given on **MyMathLab**. The online homework will be graded electronically offering you immediate feedback. Additional
assignments may be given and collected in class. Homework assignments will count 20% of your grade.

**MyMathLab** Student Instructions for Registration and Login. The course ID Number
is **ovchinnikov18703**.

Two **midterm exams** will count 20% of your grade each.You will be notified two weeks in advance about the exact dates and
format of the exams.

The **comprehensive final exam** will count 40% of your grade. You must attend the final exam in order
to pass the course.

**Final Exam**: Tuesday, December 20, 10:45 - 13:15, in HUM 579.

You will need a **scientific calculator** to do some of your homework assignments and tests. Graphics calculators are not required.

**Grading:**

Score | 85 - 100 | 75 - 85 | 65 - 75 | 50 - 65 | < 50 |

Grade | A | B | C | D | F |

**Policy on make-ups:** Make-up exams will be given for serious documented reasons or by a prior arrangement.

Students with disabilities who need reasonable accommodations are encouraged to contact the instructor. The Disability Programs and Resource Center (DPRC) is available to facilitate the reasonable accommodations process. The DPRC is located in the Student Service Building and can be reached by telephone (voice/TTY 415-338-2472) or by email (dprc@sfsu.edu).

Dropping, Withdrawing & Grading Option Procedures

Academic Senate Policy on the Observance of Religious Holidays see also InterfaithCalendar