Instructor: Qingyuan Xue

What: Math 1310-001



Email: qingyuan.xue@utah.edu
Lecture when and where: M,T,W,F 8:35AM-9:25AM, LCB 219
Course website: check the Canvas course page in your CIS (you're in it now!)
Instructor's Office: JWB 331

Daily lecture notes in .pdf form:

Office hours (JWB 331): TBD

Final Exam time & place: Wednesday May 1 8-10am. see UU final exam schedule https://registrar.utah.edu/academic-calendars/final-exams-spring.phpLinks to an external site.

The textbook: Calculus: Concepts and contexts, fifth edition, by Stewart and Kokoska

The lab instructor:

TA Office Hours:

The work

The work you will complete in Math 1310 comprises weekly homework and quizzes, weekly lab assignments, three midterm exams, and a comprehensive final exam. Homework will be turned in on Mondays, and quizzes will typically be given every Friday, and completed through the weekend. The instructor may adjust the due dates when needed. The two lowest homework and quiz scores will be dropped. Assignment weightings, point values, and grading rubrics are given to the right of this document, but could be slightly changed by instructor discretion.

Details about the content of each assignment type are as follows:

Homework: Roughly three to four textbook sections are due every Monday from lectures covering through the preceding week. If you click on a homework assignment, you will see listings of problems, about three of which will be randomly selected for grading by the grader.  Two of a student's lowest homework scores will be dropped to allow relief when occasional unfortunate events befall students during the semesters. Homework will be uploaded to Gradescope on Monday midnight, but you can turn it in late up to the next day with a 20% deduction in score.  
Quizzes: At the end of most Friday classes, a short 1-3 problem quiz will be assigned on Canvas that is due by the subsequent Sunday at midnight. The canvas quiz will be multiple choice and take roughly 10-20 minutes to complete, but no time limit is enforced. Students will be given three tries to complete the quiz and the best score of the three tries will be take. The quiz will cover relevant topics covered in the prior week's lectures. The lowest two quiz scores will be dropped. In unusual cases, we will host a quiz in class to be completed on paper.
Midterm exams: Three 50-minute midterm exams will be given on select Fridays. A practice exam and knowledge checklist will be posted roughly a week prior to the midterm that will cover the same material. 
Final exam: A two-hour comprehensive exam will be given covering the entire content of the course. As with the midterms, a practice final will be posted about a week prior. The exam will be held in our normal classroom during finals week at the time specified in the U of U academic calendar.
Gradescope: Exams will be done on paper in class, but later scanned into gradescope by the instructor. Regrade requests (in gradescope, not email) must be lodged in a timely fashion within a week of grade posting. Regrade requests can be used to (a) simply ask questions about the exam to gain insight, or (b) craft an argument for why you deserve more points. Regrade requests are encouraged but should be based on the facts of the problem, the rubric employed, and the work given on the page of the exam. The goal of grading is to fairly apply a grading procedure to every student, so, a regrade request may result in an increase, decrease, or no change in score. But if you simply want to ask a question about the content of the problem it is highly encouraged to use the regrade request to do so.
Lab:  Every Thursday a Teaching Assistant- (TA) directed lab section will be held. These lab sections will have smaller class sizes, consisting of working on lab worksheets. The lab worksheets will tend to cover longer, more in-depth problems, covering applications of DEs, than that found in homeworks and exams. However, on certain labs, we will focus on exam-style questions that will be turned in at the end of class, to prepare students for exams. The TA will be there to help guide students through the problems as students work in groups. Completion of worksheet-reports will require work outside of the lab hour on certain assignments, and on others, the lab work will be turned in at the end of the class. The lab represents 20% of the class time every week, and worth 18% of your total grade. 
Letter grades are determined as follows: If X is your percentage grade, then {X ≥ 93% ⇒ A; X ≥ 90% ⇒ A−; X ≥ 87% ⇒ B+; X ≥ 83% ⇒ B; X ≥ 80% ⇒ B− ; X ≥ 77% ⇒ C+ ;  X ≥ 70% ⇒ C; X≥67%⇒C−; X≥63%⇒D+; X≥60%⇒D; X≥57%⇒D−; X<57%⇒E}. Letter grade assignments can be changed at the discretion of the instructor. 
In-class attendance in lecture is expected but not enforced. No online real-time lecture resource will be given; however, if you are Covid-quarantining and have self-reported through the UU exposure tracking system, then you may request an accommodation to access lectures and materials virtually while quarantining. 
Lab attendances is tracked and is worth points toward the final grade.
The University of Utah seeks to provide equal access to its programs, services and activities for people with disabilities. If you will need accommodations in the class, reasonable prior notice needs to be given to the Center for Disability & Access, 162 Olpin Union Building, 801-581-5020. CDA will work with you and the instructor to make arrangements for accommodations. 

All written information in this course can be made available in alternative format with prior notification to the Center for Disability & Access. 

Addressing Sexual Misconduct. Title IX makes it clear that violence and harassment based on sex and gender (which Includes sexual orientation and gender identity/expression) is a civil rights offense subject to the same kinds of accountability and the same kinds of support applied to offenses against other protected categories such as race, national origin, color, religion, age, status as a person with a disability, veteran’s status or genetic information. If you or someone you know has been harassed or assaulted, you are encouraged to report it to the Title IX Coordinator in the Office of Equal Opportunity and

Affirmative Action, 135 Park Building, 801

Dean of Students, 270 Union Building, 801-‐581-‐7066. For support and confidential consultation, contact the Center for Student Wellness, SSB 328, 801- 581-7776. To report to the police, contact the Department of Public Safety, 801-‐585-‐2677(COPS).

The University of Utah values the safety of all campus community members. To report suspicious activity, call campus police at 801-585-COPS (801-585-2677). You will receive important emergency alerts and safety messages regarding campus safety via text message. For more information regarding safety and to view available training resources, including helpful videos, visit safeu.utah.edu.

 

Course learning objectives

The tools and skills

Students will understand how to transform functions into other functions through x- and y- translations and rescaling, re-parameterizations, and function composition. Students will also know the properties of special classes of functions including logarithms, exponential functions, polynomials, and rational functions; and know how to obtain function inverses f^{-1}(y)=x when they exist.
Students will master the concept of a limiting value of a function f(x)=y when x approaches a value c, know when limits exists, utilize limit laws, how the property of continuity of a function at c relates to its limiting value, how asymptotic behavior can be described by limits, and how limiting values can be specified even when the f(c) is not defined.
Students will understand how to use limits to compute the derivative of a function f' that describe or rate of change of a function f. Students will be able to utilize derivatives to model how two related quantities change with respect to each other, including motion of objects by in terms of velocity and acceleration. Students will also learn the methods of differentiation for different classes of functions including exponential and logarithmic functions, trigonometric and inverse trigonometric functions, power functions, and compositions, sums, products, and quotients of functions, as well as differentiating functions that are only implicitly defined by an equation. Students will also be able to utilize the derivative in applied contexts, including function approximation, and how the average slope of a function relates to the derivative through the mean value theorem. If two quantities are related by an equation, students will be able to obtain the derivative of one quantity by knowing the derivative of the other. Students will know how to utilize linear approximations to perform numerical/algorithmic equation solving via Newton's method. Also, students will be able to utilize the derivative to find maximum, minimum, or otherwise "optimal" input values for equations important in science, business, and engineering.
Students will understand the definition of the integral of a function as the limiting value of an increasingly large average of function values. They will be able to relate the integral to anti-differentiation, when appropriate, through the fundamental theorem of calculus. Students will also be able to relate the integral to the area under the function's curve, know how to approximate the integral by a finite sum, and how to integrate over infinite-length domains. Specific integration techniques will also be mastered, including substitution, integration-by-parts, and partial fractions. Finally, students will understand the key concept underlying integration, that it computes the net accumulation of a quantity through summation of the change in the quantity amount per unit of time or space, over an specified interval of time or space.
Problem solving fluency:

In addition to topical content, students will also gain experience and further mastery of complete problem solving fluency. Students will be able to read and interpret problem objectives, be able to select and execute appropriate methods to achieve the aforementioned objectives, and be able to interpret and communicate results.

Week by week guide:

Week 1: Algebra and Trigonometry review

Day 1: Powers, polynomials, rational expressions

Day 2: Polynomial division, inequalities

Day 3: Trigonometry: all identities, common angles.

Day 4: Plane geometry, lines, parabolas

Week 2: Functions

1.3: Function transformations and compositions

1.5: Exponential functions

1.6: Logarithms and inverse functions

Week 3: Functions and Limits

1.7: Parametric Curves

2.1: Tangents and velocity

2.2: Limits

Week 4: Limits, Midterm 1

2.3: Limit laws

2.4: Continuity

Week 5: Derivative concepts

2.5: Limits at infinity

2.6: Derivatives and rates of change

2.7: Derivative as a function

Week 6: Derivative techniques

2.8: Functions and their derivatives

3.1: Polynomials and exponential functions

3.2: Product and quotient Rules

Week 7: Derivative techniques

3.3: Trig functions

3.4: Chain Rule

3.5: Implicit differentiation

Week 8: Derivative techniques, Midterm 2

3.6: Inverse trig functions

3.7: Log Functions and their derivatives

Week 9: Applications of derivatives

3.9: Linear approximation

4.1: Related rates

4.2: Max and min values

Week 10: Applications of derivatives

4.3: Derivatives and shapes of curves

4.5: l’Hopital’s rule

4.6 Optimization

Week 11: Applications of derivatives

4.7: Newton’s method

4.8: Antiderivatives (cover lightly)

5.1: Areas and distances

Week 12: Integral concepts, Midterm 3

Appendix-section on sigma notation

5.2: The definite Integral

5.3: Evaluating definite integrals

Week 13: Integration techniques

5.4: Fundamental theorem of calculus

5.5: Substitution rule

5.6: Integration by parts

Week 14: Integration techniques

5.7: Other integration techniques

5.9: Approximate integration

5.10: Improper integrals