MATH 1210-23 — Calculus I
Spring 2025
| Instructor: |
Akil Narayan |
| Email: |
akil sci.utah.edu |
| Office phone: |
+1 801-581-8984 |
| Office location: |
WEB 4666, LCB 116 |
| Office hours: |
Mondays 9:30-10:30 in WEB 4666, and Thursdays 1:30-2:30 in LCB 116 |
| Class meeting time: |
Monday, Tuesday, Wednesday, Friday 10:45am - 11:35am |
| Class meeting location: |
CTIHB 109 |
Functions and their graphs, differentiation of polynomial, rational and trigonometric functions. Velocity and acceleration. Geometric applications of the derivative, minimization and maximization problems, the indefinite integral, and an introduction to differ- ential equations. The definite integral and the Fundamental Theorem of Calculus.
The course syllabus is here: PDF
The Department of Mathematics provides drop-in tutoring services for this course. Please see https://www.math.utah.edu/undergraduate/mathcenter.php for details. Note that you should schedule your visit during a time when a knowledgable tutor is available who can address your questions. Each tutor's specialties and schedule are shown on the webpage above.
The content of this course is split across this website and Canvas. The material available on this website is:
- Course syllabus
- Homework assignments
- Lecture slides and notes
- Miscellaneous handouts and resources
The material available on Canvas is:
- Course syllabus
- Homework assignments and submission portal
- Grading results
Graded assignments
Individual grades for each assignment will be posted to Canvas. (uNID login required.) Note that the letter grades appearing on Canvas are not representative of predicted final letter grades for the course. Final letter grades will be computed according to the rubric and policies on the syllabus.
Homework assignments
Homework will be collected through Gradescope on Canvas, with a due date of Friday. See Canvas for details of each assignment.
Late work will not be accepted without advance approval from the instructor.
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Problem set description
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Due date
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Homework
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1 : Limits
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January 17, 2025
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PDF
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2 : Trigonometric and infinite limits
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January 24, 2025
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PDF
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3 : Continuity and the derivative
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January 31, 2025
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PDF
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4 : The power, product, and quotient rules
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February 7, 2025
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PDF
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5 : Trigonometric functions and the chain rule
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February 14, 2025
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PDF
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6 : Implicit differentiation and related rates
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February 21, 2025
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PDF
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7 : Maxima and minima
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February 26, 2025
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PDF
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8 : Local extrema
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March 7, 2025
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PDF
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Miscellaneous handouts
The following are slides from class.
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Description
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Posting date
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Download
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Marked document
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Week 01: D01: Hello
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January 01, 2025
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PDF
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Week 01: D02: (Section 1.1) Introduction to limits
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January 01, 2025
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PDF
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PDF
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Week 01: D03: (Section 1.2) Rigorous definition of limits
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January 01, 2025
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PDF
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PDF
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Week 01: D04: (Section 1.3) Limit theorems
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January 01, 2025
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PDF
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Week 02: D05: (Section 0.7) Trigonometry review
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January 12, 2025
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PDF
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PDF
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Week 02: D06: (Section 1.4) Limits of trigonometric functions
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January 12, 2025
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PDF
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PDF
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Week 02: D07: (Section 1.5) Infinite limits at limits at infinity
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January 12, 2025
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PDF
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PDF
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Week 03: D08: (Section 1.6) Continuity of functions
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January 19, 2025
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PDF
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PDF
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Week 03: D09: (Section 2.1) Warmup to derivatives
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January 19, 2025
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PDF
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PDF
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Week 03: D10: (Section 2.2) The derivative
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January 19, 2025
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PDF
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PDF
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Week 04: D11: (Section 2.3) Rules for computing derivatives
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January 26, 2025
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PDF
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PDF
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Review Session notes for Midterm 1
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January 29, 2025
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PDF
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Midterm Exam 1 Topics
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January 23, 2025
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PDF
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Midterm Exam 1 Practice Exam
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January 23, 2025
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PDF
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Week 05: D12: (Section 2.4) Derivatives of trigonometric functions
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February 2, 2025
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PDF
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PDF
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Week 05: D13: (Section 2.5) The chain rule
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February 2, 2025
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PDF
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PDF
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Week 06: D14: (Section 2.6) Higher order derivatives
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February 7, 2025
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PDF
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PDF
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Week 06: D15: (Section 2.7) Implicit differentiation
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February 7, 2025
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PDF
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PDF
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Week 06: D16: (Section 2.8) Related rates
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February 7, 2025
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PDF
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PDF
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Week 06: D17: (Section 2.9) Approximations and differentials
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February 7, 2025
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PDF
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PDF
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Week 07: D18: (Section 3.1) Maxima and minima
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February 16, 2025
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PDF
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PDF
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Week 07: D19: (Section 3.2) Monotonicity and concavity
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February 16, 2025
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PDF
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PDF
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Midterm Exam 2 Topics
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February 16, 2025
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PDF
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Midterm Exam 2 Practice Exam
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February 16, 2025
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PDF
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Review Session notes for Midterm 2
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February 26, 2025
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PDF
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Week 08: D20: (Section 3.3) Local extrema
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March 2, 2025
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PDF
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PDF
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Week 08: D21: (Section 3.5) Plotting functions with calculus
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March 2, 2025
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PDF
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PDF
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Week 08: D22: (Section 3.4) Practical problems
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March 3, 2025
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PDF
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PDF
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