**MAT 191 Calculus I, Section 80, CN
45106 Fall 2021**

**Class meets MWF 10:00 AM - 11:25
AM, in SAC 3136**

**Instructor:** Serban Raianu, office: NSM E-108,
office phone: (310) 243-3139, cell phone (657) 204-5612

e-mail address: sraianu@csudh.edu,
URL: http://math.csudh.edu/~sraianu;

office hours**: (via zoom**, **the zoom meeting information will be announced on Blackboard)**

Monday, Wednesday: 8:20 AM
– 9:50 AM, Friday: 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 **two zoom video meetings 15-minutes
examinations** (50% total), a comprehensive **final examination** (20%), and **quizzes**,
**homework**, **video** and other assignments (30%) for the remainder.

The exact grading system for your section is the following:

An oral examination will consist in giving a definition or a
statement for a notion or result studied in class, and explaining two homework
problems from the homework assignments. A list of the possible definitions and
statements is posted on Blackboard. A definition or a statement will be chosen
by selecting a random number from 1 to the number of definitions and statements
on the list. The homework problems will be selected by choosing randomly the
lecture number, then a problem number from 1 to the total number of problems in
the assignment corresponding to that lecture. For example, the
definition/statement number 5 will refer to the fifth item on the list of
possible definitions or statements on the list. The homework problem (1,13)
will refer to problem 9 in Section 1.3 in CLP-1: this is the 13^{th}
problem in the homework assignment for Lecture 1.1. Each of the **two oral exams** will be graded on a 100
scale, then the sum of the scores is divided by 4 and denoted by E.

**Homework** will be due every week, the day
before quiz days, and each homework is worth 10 points. Each week one of the
problems from the homework due for that week will be selected and graded on a
scale from 0 to 4. The remaining 6 points will be awarded for completeness of
the homework assignment. Submitting solutions copied from the back of the book
is not forbidden but strongly discouraged, since copying solutions will not
prepare you for answering questions during the oral examinations. The average
of all homework scores is denoted by H. Homework will be submitted as a pdf
with your paper work on Gradescope. There is no need
to match the pages with the problems when submitting the homework, see

https://www.youtube.com/watch?v=u-pK4GzpId0

Gradescope can be accessed from the link
in Content in your Blackboard course, and you can practice submitting your work
on Gradescope using the assignment called Submission
practice, which will remain open throughout the semester. You might be asked to
explain your work on a submitted problem. Failure to provide an explanation
might result in a score of zero for the entire homework assignment.

**15 minutes quizzes** will be given in principle
every week, and will be graded on a scale from 1 to 10. The average of the
quizzes scores is denoted by Q. Each quiz will consist of one problem, similar
but not necessarily identical to one of the homework problems assigned for that
week.

There are also 10 points awarded for **explaining one homework problem on video**. This portion of the grade
is denoted by V. Videos will be due the day before quiz days and will have to
be uploaded on Flipgrid

https://flipgrid.com/raianu9049

The homework problems from which to choose one problem to
explain on video will be announced in class.

The **final exam, which
will consist of fifteen problems similar to problems
assigned as homework throughout the semester,** will be graded out of a maximum
possible 200, then the score is divided by 10 and denoted by F.

To determine your **final
grade**, compute E+H+Q+V+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. You will be able to follow your
progress in the class in Blackboard under Grade Center throughout the semester.

**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.

**Tentative schedule and homework assignments**

**M 8/23: Lecture 1.1: **From CLP-1: 1.1 Drawing Tangents
and a First Limit: 1,2,3; 1.2 Another Limit and Computing Velocity: 5,6,7; 1.3 The Limit of a Function:
1,3,5,7,9,11,13,15,17 (15
problems)

**W 8/25: Lecture 1.2: **1.4 Calculating Limits with
Limit Laws, 1: 1,3,5,7,9,11,13,15,17,19,21,23
(12 problems)

**F 8/27: Lecture 1.3: **1.4 Calculating Limits with
Limit Laws, 2: 2,4,6,8,10,12,14,16,18,20,22,24
(12 problems)

**M 8/30: Lecture 1.4: **1.5 Limits at Infinity: 1,3,5,7,9,11,13,15,17,19,21,23,25 (13
problems)

**W 9/1:** **Lecture 1.5:** 1.6 Continuity: 1,3,5,7,9,11,13,15,17,19 (10 problems)

**F 9/3: Lecture 1.6: **2.1 Revisiting tangent lines:
1,2**,**3; 2.2 Definition of the derivative: 1,3,5,7,9,11,13,15,17 (12 problems)

**M 9/6: Labor Day**

**W 9/8:** **Lecture 1.7:** 2.3 Interpretations of the
derivative: 1,2,3,4,5,6,7; 2.4
Arithmetic of derivatives: 1,2,3,4,5,6,7,8,9,10,11,12 (19 problems)

**F 9/10: Lecture 1.8: **2.6 Using the arithmetic of
derivatives: 1,3,4,5,6,7,8,9,10,11,12,13,14,15,16
(15 problems)

**M 9/13: Lecture
1.9: **2.7 Derivatives
of exponential functions: 1,2,3,4,5,6,7,8,9,10,11
(11 problems)

**W 9/15: Lecture 1.10:** 2.8 Derivatives of
trigonometric functions: 1,3,5,7,9,11,13,15,17,19,21,23,25
(13 problems)

**F 9/17: Lecture 1.11: **2.8 Derivatives of trigonometric
functions: 2,4,6,8,10,12,14,16,18,20,22,24
(12 problems)

**M 9/20: Lecture 1.12: **2.9 One more tool - the chain
rule: 2,4,6,8,10,12,14,16,18,20,22,24,26
(13 problems)** **

**W 9/22: Lecture
1.13: **2.9 One
more tool - the chain rule: 3,5,7,9,11,13,15,17,19,21,23,25
(12 problems)

**F 9/24:** **Lecture 1.14: **2.10 The natural
logarithm: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29
(15 problems)

**M 9/27: Lecture 1.15:** 2.10 The natural logarithm:
2,4,6,8,10,12,14,16,18,20,22,24,26,28
(14 problems)

**W 9/29: Lecture
1.16: **2.11
Implicit differentiation: 1,2,3,4,5,6,7,8,9,10,11,12,13
(13 problems)

**F 10/1: Lecture 1.17:** 2.12 Inverse trigonometric
functions: 1,3,5,7,9,11,13,15,17,19
(10 problems)

**M 10/4:** **Lecture
1.18: **2.13 The Mean Value Theorem: 7,8,9,10,11,16,18,22 (8 problems)

**W 10/6: Lecture
1.19:** 2.14
Higher order derivatives: 5,6,7,8,9,10,11,12,13
(9 problems)

**F 10/8: Review **

**M 10/11:** **Oral Exam Week 1**

**W 10/13: Oral
Exam Week 1**

**F 10/15:** **Oral
Exam Week 1**

**M 10/18: Lecture
2.1: **3.2
Related rates: 1,2,3,4,5,6,7,8,9
(9 problems)

**W 10/20:** **Lecture 2.2:** 3.3 Exponential growth and
decay: 3.3.1: 6,8,10; 3.3.2:
2,4,6; 3.3.3: 2,3,4,5 (10 problems)

**F 10/22: Lecture 2.3: **3.5.1 Local and global maxima
and minima: 1,2,3,4,5,6,7;
3.5.2: 1,2,3,4,5; 3.5.3:
1,2,3,4,5 (17 problems)

**M 10/25:** **Lecture 2.4:** 3.6 Sketching graphs:
3.6.1: 4,5; 3.6.2: 2,3,4; 3.6.3: 4; 3.6.4: 1,2,5,7,8 (11 problems)

**W 10/27: Lecture
2.5: **3.6.6
Sketching examples, 1,3,5,7,9 (5
problems)

**F 10/29: Lecture
2.6:** 3.6.6
Sketching examples, 2,4,6,8,10
(5 problems)** **

**M 11/1: Lecture 2.7: **4.1 Introduction to
antiderivatives: 1,3,5,7,9,11,13,15
(8 problems)

**W 11/3:** **Lecture
2.8:** From CLP-2: 1.1 Definition of the integral: 1,3,5,7,9,11,13,15 (8 problems)

**F 11/5: Lecture
2.9: **1.1
Definition of the integral: 2,4,6,8,10,12,14
(7 problems) ** **

**M 11/8:** **Lecture 2.10:** 1.2 Basic properties of
integrals: 1,3,5,7,9,11,13,15,17,19
(10 problems)

**W 11/10: Lecture
2.11: **1.2 Basic
properties of integrals: 2,4,6,8,10,12,14,16,18,20
(10 problems)

**F 11/12: Lecture 2.12:** 1.3 The Fundamental Theorem of
Calculus: 1,3,5,7,9,11,13,15,17,19,21,23
(12 problems)

**M 11/15: Lecture 2.13: **1.3 The Fundamental Theorem of
Calculus: 2,4,6,8,10,12,14,16,18,20,22,24
(12 problems)

**W 11/17:** **Lecture 2.14: **1.4 Substitution: 1,2,3,4,5,6,7,8 (8 problems)

**F 11/19: Lecture
2.15: **1.4
Substitution: 9,10,11,12,13,14,15,16,17
(9 problems)

**M 11/22: Lecture 2.16:** 1.4 Substitution: 18,19,20,21,22,23,24,25 (8 problems)

**W 11/24:** **Review**

**F 11/26: Thanksgiving Day Break **

**M 11/29: Oral Exam Week 2**

**W 12/1: Oral
Exam Week 2**

**F 12/3: Oral
Exam Week 2**

**Final examination: Monday,
December 6, 10:00 AM - 12:00 PM.**

**Important Dates:**