MAT 191 Calculus I, Section 01, CN 21695 Spring 2020

Class meets MWF 1:00 PM - 2:25 PM in LCH A227

Instructor: Serban Raianu, office: NSM E-108, office phone number: (310) 243-3139,

office hours: Monday: 10:15 AM - 12:15 PM, Wednesday: 10:15 AM – 11:15 AM, Wednesday: in the Toro Learning Center: 11:30 AM - 12:30 PM, or by appointment.

Course Description: MAT 191, Calculus I, covers from the textbooks: differential and integral calculus of one variable: limits, continuity, derivatives and application of derivatives, integrals, Fundamental Theorem of Calculus, inverse functions.

Text: CLP-1 Differential Calculus and CLP-2 Integral Calculus, by Joel Feldman, Andrew Rechnitzer, Elyse Yeager, available online at http://www.math.ubc.ca/~CLP/

Objectives: After completing MAT 191 the student should be able to:

• Understand the four basic concepts of one-variable calculus; the limit, the concept of continuity, the derivative and the integral of a function of one variable
• Use the rules of differentiation to compute derivatives of algebraic and trigonometric functions
• Use derivatives to solve problems involving rates of change, tangent lines, velocity (speed), acceleration, optimization, and related rates.
• Investigate the graph of a function with the aid of its first and second derivatives: asymptotes, continuity, tangency, monotonicity, concavity, extrema, inflection points, etc.
• Understand the meanings of indefinite integral and the definite integral of a function of one variable, and their relationship to the derivative of a function via the Fundamental Theorem of Calculus
• Use rules of integration including the Substitution Rule to evaluate indefinite and definite integrals
• Differentiate Exponential, Logarithmic, and Inverse Trigonometric Functions

Prerequisites: MAT 153 or equivalent with a grade of "C" or better.

Grades: Grades will be based on three in‑class 80-minutes examinations (60% total), a comprehensive final examination (25%), and quizzes, homework, attendance and other assignments (15%) for the remainder.

Each of the three 80-minutes exams will be graded on a 100 scale, then the sum of the scores is divided by 5 and denoted by E.

Homework will be due every Monday, and each homework is worth 5 points. No late homework will be accepted. The average of all homework scores is denoted by H.

5 to 10 minutes quizzes will be given in principle every Monday, and will be graded on a scale from 1 to 5. The average of the quizzes scores is denoted by Q.

There are also 5 points awarded for attendance and class participation. This portion of the grade is denoted by A.

The final exam will be graded out of a maximum possible 200, then the score is divided by 8 and denoted by F.

To determine your final grade, compute E+H+Q+A+F. The maximum is 100, and the grade will be given by the rule:

A: 93‑100; A‑: 90‑92; B+: 87‑89; B: 83‑86; B‑: 80‑82

C+: 77‑79; C: 73‑76; C‑: 70‑72; D+: 67‑69; D: 60‑66; F: Less than 60.

Makeups: No makeup examinations or quizzes will be given. If you must miss an examination for a legitimate reason, discuss this, in advance, with me, and I may then substitute the relevant score from your final examination for the missing grade.

Accommodations for Students with Disabilities: California State University, Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Student disAbility Resource Center (SdRC) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the SdRC in WH D-180. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

Academic Integrity: The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

Technology: Symbolic calculators, such as TI-89, TI-92 or TI-nspire CAS are not acceptable for this course.

Exam rules: Students must leave their CSUDH student ID on their desk for the duration of the exam. Cell phones, iPhones, iPods, or PDAs of any kind, as well as headphones, may not be used at all during a test. Students are discouraged from leaving the exam room during the period of the exam. Restroom breaks must be kept under five minutes and are limited to one/exam. You will be penalized 5 points if you are gone more than five minutes. No more than one student can be out of the room at any given time during an exam. If a student finds it necessary to leave the room under these circumstances, they are not permitted to access computer terminals, smoke, read notes/books, or talk with others. If a student is found engaging in this behavior, appropriate disciplinary action will be taken. Whenever a student leaves the room, they must turn their exam upside down on their desk. All book bags or similar items will be deposited in the front of the class for the duration of the test.

Tentative schedule and homework assignments

W 1/22:           From CLP-1: 1.1 Drawing Tangents and a First Limit: 1-3; 1.2 Another Limit and Computing Velocity: 3-7; 1.3 The Limit of a Function: (odd) 1-17

F 1/24:             1.4 Calculating Limits with Limit Laws: (odd) 1-23

M 1/27:           1.4 Calculating Limits with Limit Laws: (even) 2-24

W 1/29:           1.5 Limits at Infinity: (odd) 1-25

F 1/31:            1.6 Continuity: (odd) 1-19

M 2/3:             2.1 Revisiting tangent lines: 1-3; 2.2 Definition of the derivative: (odd) 1-17

W 2/5:             2.3 Interpretations of the derivative: 1-7; 2.4 Arithmetic of derivatives: 1-12

F 2/7:              2.6 Using the arithmetic of derivatives: 1-15

M 2/10:           2.7 Derivatives of exponential functions: 1-11

W 2/12:           2.8 Derivatives of trigonometric functions: 1-15

F 2/14:            2.8 Derivatives of trigonometric functions: 16-25

M 2/17:           Presidents Day Holiday

W 2/19:           Review

F 2/21:            Exam I

M 2/24:           2.9 One more tool - the chain rule: (even) 2-26

W 2/26:           2.9 One more tool - the chain rule: (odd) 3-25

F 2/28:            2.10 The natural logarithm: (odd) 1-29

M 3/2:             2.10 The natural logarithm: (even) 2-28

W 3/4:             2.11 Implicit differentiation: 1-13

F 3/6:              2.12 Inverse trigonometric functions: (odd) 1-19

M 3/9:             2.13 The Mean Value Theorem: 7-11,16,18,22

W 3/11:           2.14 Higher order derivatives: 5-13

F 3/13:            3.2 Related rates: 1-9

M 3/16:           3.3 Exponential growth and decay: 3.3.1: 6,8,10; 3.3.2: 2,4,6; 3.3.3: 2-5

W 3/18:           Review

F 3/20:            Exam II

M 3/23:           3.5.1 Local and global maxima and minima: 1-7; 3.5.2: 1-5; 3.5.3: 1-5

W 3/25:           3.6 Sketching graphs; 3.6.1: 4,5; 3.6.2: 2-4; 3.6.3: 4; 3.6.5: 1,2,5,7,8

F 3/27:            3.6.6 Sketching examples: 1-5

M 3/30:           Spring Recess

W 4/1:             Spring Recess

F 4/3:              Spring Recess

M 4/6:             3.6.6 Sketching examples: 6-10

W 4/8:             4.1 Introduction to antiderivatives: (odd) 1-15

F 4/10:            From CLP-2: 1.1 Definition of the integral: (odd) 1-15

M/4/13:           1.1 Definition of the integral: (even) 2-14

W 4/15:           1.2 Basic properties of integrals: (odd) 1-19

F 4/17:            1.2 Basic properties of integrals: (even) 2-20

M 4/20:           1.3 The Fundamental Theorem of Calculus: 1-13

W 4/22:           1.3 The Fundamental Theorem of Calculus: 14-27

F 4/24:            1.3 The Fundamental Theorem of Calculus: 28-40

M 4/27:           1.4 Substitution: 1-8

W 4/29:           1.4 Substitution: 9-17

F 5/1:              1.4 Substitution: 18-25

M 5/4:             Review

W 5/6:             Exam III

F 5/8:              Review

Final examination: Monday, May 11, 1:00 PM - 3:00 PM.

Important Dates: