1A - Calculus Assignments
- Instructor
- Jeffrey Woytowich
- Term
- 2023-2024 School Year
- Department
- Math Website
Upcoming Assignments
Due:
Wednesday 5/1/24 - U Substitution with Trig
Past Assignments
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Monday 4/29/24 - Integration Using Substitution Day 1
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Thursday 4/25/24 - The Mean Value Theorem (MVT) of Integration
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Tuesday 4/23/24 - The Second Fundamental Theorem of Calculus
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Monday 4/8/24 - Riemann Sum and the Definite Integral
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Monday 4/8/24 - Riemann Sum and the Definite Integral
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Thursday 4/4/24 - Riemann Sum
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Wednesday 3/27/24 - Review of Antiderivatives and Vertical Motion
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Monday 3/25/24 - Second Order Integrals, Vertical Motion and Building a Distance Function
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Tuesday 3/19/24 - Antiderivatives and Indefinite Integrals
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Monday 3/11/24 - The Mean Value Theorem
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Monday 3/11/24 - The Mean Value Theorem
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Thursday 3/7/24 - Economics and Points of Diminishing Returns
Please complete the Day 4 - Economics and Points of Diminishing Returns activity. You may use the answer key as a guide. The first example talks about simple economics but the other examples get into points of diminishing returns. The point of diminishing returns are when the rate of the rate of an increase begins to slow down. We found these when we did curve sketching (points of inflection). Since the rate of the rate of increasing is slowing down, graphically the original function is switching from concave up to concave down. It is calculated using the second derivative.
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Tuesday 3/5/24 - Finish More Optimization HW
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Tuesday 3/5/24 - Finish More Optimization HW
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Friday 3/1/24 - Day 3 More Optimization
Finish for homework
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Wednesday 2/28/24 - Day 2 - Optimizing 3D Shapes
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Monday 2/26/24 - Intro to Optimization
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Monday 2/26/24 - Intro to Optimization
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Thursday 2/15/24 - Review of Curve Sketching
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Monday 2/12/24 - Curve Sketching Practice
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Thursday 2/8/24 - Summary of Curve Sketching
Here are the notes and homework answer keys with work shown from Tuesday's class as well as the materials that were completed or assigned today. Please complete the warm up and all of the problems on the summary worksheet. Answer keys with work have been provided to assist you.
Due:
Tuesday 2/6/24 - Concavity Day 2
Please review the notes for an answer key to the homework. The first two examples to the HW - Concavity Day 2 are shown in the notes as well as notes on how to calculate horizontal asymptotes. Finish the homework for next class.
Due:
Tuesday 2/6/24 - Concavity Day 2
Please review the notes for an answer key to the homework. The first two examples to the HW - Concavity Day 2 are shown in the notes as well as notes on how to calculate horizontal asymptotes. Finish the homework for next class.
Due:
Friday 2/2/24 - Finish Concavity Day 1
Please complete #17, Find all extrema for #29-49.
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Friday 2/2/24 - Finish Concavity Day 1
Please complete #17, Find all extrema for #29-49.
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Wednesday 1/31/24 - Concavity Day 1
Please complete examples 1, 7, and 11 only
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Monday 1/29/24 - Increasing and Decreasing Intervals
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Thursday 1/25/24 - Critical Values (Numbers)
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Thursday 1/25/24 - Critical Values (Numbers)
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Tuesday 1/9/24 - L'Hopital's Rule
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Wednesday 1/3/24 - Related Rates Review
Complete and correct the Review. Related Rates Day 3 is an additional practice HW for more challenging problems.
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Wednesday 12/20/23 - Related Rates Day 2
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Friday 12/15/23 - Related Rates
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Friday 12/15/23 - Related Rates
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Friday 12/15/23 - Related Rates
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Monday 12/11/23 - Review of Implicit and Logarithmic Differentiation
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Thursday 12/7/23 - Logarithmic Differentiation Day 2
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Wednesday 12/13/23 - Intro to Related Rates Activity
Please click on the link below and complete the desmos activity on related rates.
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Tuesday 12/5/23 - Logarithmic Differentiation Day 1
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Friday 12/1/23 - Implicit Differentiation Day 2
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Friday 12/1/23 - Implicit Differentiation Day 2
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Wednesday 11/29/23 - Implicit Differentiation Day 1
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Monday 11/27/23 - Derivative of the Natural Log and Higher Order Derivatives
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Friday 11/17/23 - Review of Derivative Rules
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Monday 11/13/23 - Chain Rule Day 1
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Monday 11/13/23 - Chain Rule Day 1
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Wednesday 11/8/23 - Quotient Rule Day 2
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Wednesday 11/15/23 - Chain Rule Day 2
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Friday 11/3/23 - Quotient Rule Day 1
Please correct your Unit 2 Assessment and hand in your corrections on Wednesday 11/8/23
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Wednesday 11/1/23 - Product Rule
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Thursday 10/26/23 - More Rates of Change
Please review the limit definition of the derivative, what makes a function's graph differentiable, graphing derivatives, slope of tangent lines and equations of tangent lines, applications of the derivative including velocity as well as the power rule.
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Tuesday 10/24/23 - Vertical Motion and Other Rates of Change
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Tuesday 10/24/23 - Vertical Motion and Other Rates of Change
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Friday 10/20/23 - Special Derivatives
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Wednesday 10/18/23 - Graphs of Derivatives
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Monday 10/16/23 - Basic Differentiation
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Thursday 10/12/23 - Using the Limit Definition of the Derivative
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Friday 10/6/23 - Intro to Derivatives
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Monday 10/2/23 - Unit 1 Review
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Thursday 9/28/23 - The IVT and Infinite Limits
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Tuesday 9/26/23 - The Squeeze Theorem and Continuity
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Tuesday 9/19/23 - Limits Algebra Day 2
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Friday 9/15/23 - Finding Limits Algebraically Day 1
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Wednesday 9/13/23 - Finish Notes on Finding Limits Numerically and Graphically
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Wednesday 8/30/23 - Correcting the Summer Packet
Please correct your summer packets and read the posted article. If you have extra time you can start the Additional Review. I will answer questions on Friday and we will finish the Additional Review in class on Friday.