Summer 2022
Math 16010: Applied Calculus I
Course Day & Time: MTWRF 1-2pm
□ NEW Classroom: BRNG 2291
Office Hours will be held in MATH 643
□ Times: TR 2:30-3:30pm
Important Links
- MA 16010 Page
- Piazza: an online forum for questions and answers regarding the content of the course (such as questions about homework problems).
- LON-CAPA: Main online resource for the course. Contains instruction videos and texts for each lesson, with solved problems. Also all the homework assignments are done through LON-CAPA.
- Brightspace:here the scores from homework, quizzes and exams are kept, and some info regarding the course might be shared.
Course Calendar
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Week 1 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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6/13/2022 |
6/14/2022 |
6/15/2022 |
6/16/2022 |
6/17/2022 |
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Lesson 0: (Notes w/ Optional HW)
□ Course Information □ Review
Lesson 1: (Notes)
□ Finding Limits Numerically □ One-sided Limits □ Finding Limits Graphically
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Lesson 2: (Notes)
□ Finding Limits Analytically □ Continuity
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Lesson 3: (Notes)
□ The Derivative
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Lesson 4: (Notes)
□ Basic Rules of Differentiation □ Derivatives of the Sine and Cosine Functions □ Derivatives of the Natural Exponential Function
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Lesson 5: (Problem Set | Notes)
□ Instantaneous Rates of Change |
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Quiz 1 (Assignment | Solutions) □ Lesson(s) Covered: 0 □ Topic(s) Covered: □ Course Information □ Review
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Quiz 2 (Assignment | Solutions) □ Lesson(s) Covered: 1-2 □ Topic(s) Covered: □ Finding Limits Numerically □ One-Sided Limits □ Finding Limits Graphically □ Finding Limits Amalytically □ Continuity
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Week 2 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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6/20/2022 |
6/21/2022 |
6/22/2022 |
6/23/2022 |
6/24/2022 |
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Lesson 6: (Notes)
□ The Product Rule
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Lesson 7: (Notes)
□ The Quotient Rule □ Derivatives of the Other Trigonometric Functions
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Lesson 8: (Notes)
□ The Chain Rule Pt 1
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Review for Exam 1
Study Guides (Algebra | Calculus)
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EXAM 1 □ Lesson(s) Covered: 1 - 7 □ Time: 1-2pm □ Location: MATH 175
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Quiz 3 (Assignment | Solutions) □ Lesson(s) Covered: 3-6 □ Topic(s) Covered: □ The Derivative □ Basic Rules of Differentiation □ Derivatives of the Sine and Cosine Functions □ Derivatives of the Natural Exponential Functions □ Instantaneous Rates of Change □ The Product Rule
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Extra Credit 1 DUE □ Bring in the CORRECT calculator to class
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Week 3 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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6/27/2022 |
6/28/2022 |
6/29/2022 |
6/30/2022 |
7/1/2022 |
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Lesson 9: (Notes)
□ The Chain Rule Pt 2 □ Derivative of the Natural Logarithmic Function
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Lesson 10: (Notes)
□ Higher Order Derivatives □ Implicit Differentiation Pt 1
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Lesson 11: (Notes)
□ Implicit Differentiation Pt 2 □ Related Rates Pt 1 (Handout)
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□ Related Rates Pt 2
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Lesson 13: (Notes)
□ Relative Extrema and Critical Numbers
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Quiz 4 (Assignment | Solutions) □ Lesson(s) Covered: 7-10 □ Topic(s) Covered: □ The Quotient Rule □ Derivatives of Other Trigonometric Functions □ The Chain Rule □ Derivatives of the Natural Logarithmic Functions □ Higher Order Derivatives
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Extra Credit 2 DUE (Assignment | Solutions) □ Lesson(s) Covered: 10-11 □ Topic(s) Covered: □ Implicit Differentiation
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Week 4 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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7/4/2022 |
7/5/2022 |
7/6/2022 |
7/7/2022 |
7/8/2022 |
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NO CLASS (4th of July) |
Lesson 14: (Notes)
□ Increasing and Decreasing Functions and the First Derivative Test
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Lesson 15: (Notes)
□ Concavity, Inflection Points and the Second Derivative Test
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Review for Exam 2
Study Guides (Algebra | Calculus)
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EXAM 2 □ Lesson(s) Covered: 8 - 14 □ Time: 1-2pm □ Location: MATH 175
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Week 5 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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7/11/2022 |
7/12/2022 |
7/13/2022 |
7/14/2022 |
7/15/2022 |
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Lesson 16: (Notes)
□ Absolute Extrema on an Interval
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□ Graphical Interpretation of Derivatives
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Lesson 18: (Notes Pt 1 | Notes Pt 2)
□ Limits at Infinity
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Lesson 19: (Notes)
□ A Summary of Curve Sketching
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□ Optimization Pt 1
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Quiz 5 (Assignment | Solutions) □ Lesson(s) Covered: 13-15 □ Topic(s) Covered: □ Relative Extrema and Critical Numbers □ Increasing and Decreasing Functions and the First Derivative Test □ Concavity, Inflection Points and the Second Derivative Test
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Week 6 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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7/18/2022 |
7/19/2022 |
7/20/2022 |
7/21/2022 |
7/22/2022 |
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□ Optimization Pt 2
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Lesson 22: (Notes)
□ Antiderivatives and Indefinite Integration Pt 1
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Lesson 23: (Notes)
□ Antiderivatives and Indefinite Integration Pt 2
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Review for Exam 3
Study Guides (Algebra | Calculus)
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EXAM 3 □ Lesson(s) Covered: 15 - 23 □ Time: 1-2pm □ Location: MATH 175
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Quiz 6 (Assignment | Solutions) □ Lesson(s) Covered: 16-17 □ Topic(s) Covered: □ Absolute Extrema on an Interval □ Graphical Interpretation of Derivatives
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Extra Credit 3 DUE (Assignment | Solutions) □ Lesson(s) Covered: 19 □ Topic(s) Covered: □ A Summary of Curve Sketching
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Quiz 7 (Assignment | Solutions) □ Lesson(s) Covered: 18-21 □ Topic(s) Covered: □ Limits at Infinity □ A Summary of Curve Sketching □ Optimization
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Week 7 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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7/25/2022 |
7/26/2022 |
7/27/2022 |
7/28/2022 |
7/29/2022 |
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Lesson 24: (Notes)
□ Area and Riemann Sums
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Lesson 25: (Notes)
□ Definite Integrals
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Lesson 26: (Problem Set | Notes)
□ The Fundamental Theorem of Calculus
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□ Numerical Integration
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Lesson 28: (Problem Set | Notes)
□ Exponential Growth
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Quiz 8 (Assignment | Solutions) □ Lesson(s) Covered: 25 □ Topic(s) Covered: □ Definite Integrals
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Extra Credit 4 DUE (Survey)
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Week 8 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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8/1/2022 |
8/2/2022 |
8/3/2022 |
8/4/2022 |
8/5/2022 |
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Lesson 29: (Problem Set | Notes)
□ Exponential Decay
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Review for Final Exam
Study Guides (Algebra | Calculus)
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NO CLASS
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NO CLASS
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FINAL EXAM □ Lesson(s) Covered: 1 - 29 □ Time: 10:30am - 12:30pm □ Location: WALC 1055
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Quiz 9 (Assignment | Solutions) □ Lesson(s) Covered: 26 □ Topic(s) Covered: □ The Fundamental Theorem of Calculus
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