MATH 1150/1151 - Calculus I / II

Calculus I/II OneNote Notebook

Resources & Links

eBook - Calculus, 10e - Larson/Edwards
Syllabus - Fall 2021 - MATH 1150 - Calculus I - In conjunction with North Central State College.
Syllabus - Spring 2022 - MATH 1151 - Calculus II - In conjunction with North Central State College.
Grading Policies

Ch 1 - Limits and Their Properties

- 1.2 Finding Limits Graphically and Numerically
  - - Day 1 - Homework
- 1.2 Epsilon-Delta Definition of a Limit
  - - Day 2 - Homework
- 1.3 Evaluating Limits Analytically
  - - Day 3 - 1.3 Part 1 Video, 1.3 Part 2 Video
- 1.4 Continuity and One-Sided Limits
  - - Day 4 - Discuss 1.4 Part 1, 1.4 Part 2 Video
- 1.5 Infinite Limits, 3.5 Limits at Infinity
  - - Day 5 - 1.5 Video, 3.5 Video
- Day 6 - Chapter 1 webAssign Problems due, Review Problems
- Day 7 - Board Work
- Day 8 - CHAPTER 1 TEST

Ch 2 - Differentiation

- 2.1 The Derivative and the Tangent Line Problem, 2.2 Basic Differentiation Rules and Rates of Change
  - - Day 1 - 2.1 Video, 2.2 Video
- 2.3 Product and Quotient Rules and Higher-Order Derivatives
  - - Day 2 - 2.3 Day 1 Video, 2.3 Day 2 Video
- 2.4 The Chain Rule
  - - Day 3 - Chapter 2 Part 1 webAssign Problems due, 2.4 Video
- 2.5 Implicit Differentiation
  - - Day 4 - 2.5 Video
- 5.1 The Natural Logarithmic Function: Differentiation, 5.4 Exponential Functions: Differentiation
  - - Day 5 - 5.1 Video, 5.4 Video
- 2.6 Related Rates
  - - Day 6 - Chapter 2 Part 2 webAssign Problems due, Homework
    - Day 7 - 2.6 Related Rates - Homework
    - Day 8 - 2.6 Related Rates - Homework
- Day 9 - Review Problems
- Day 10 - Board Work
- Day 11 - Chapter 2 Test

Ch 3 - Applications of Differentiation

- 3.1 Extrema on an Interval
  - - Day 1 - 3.1 Video
    - Problems for Class Next Day
- 3.2 Rolle's Theorem and the Mean Value Theorem
  - - Day 2 - 3.2 Part 1 Video, 3.2 Part 2 Video
- 3.3 Increasing and Decreasing Functions and the First Derivative Test
  - - Day 3 - 3.3 Video
- 3.4 Concavity and the Second Derivative Test
  - - Day 4 - 3.4 Video
    - 3.4 Homework
- 3.6 Summary of Curve Sketching
  - - Day 5 - Board Work, Complete WebAssign
- 3.7 Optimization Problems
  - - Day 8 - Homework
    - Day 9 - Homework
- Day 10 - Review Problems
- Day 11 - Board Review
- Day 12 - Chapter 3 Test

Ch 4 - Integration

- 4.1 Antiderivatives and Indefinite Integrals
  - - Day 1 - 4.1 Day 1 Video + webAssign
    - Day 2 - 4.1 Day 2 Video + webAssign
- 4.2 Area
  - - Day 3 - Old Problem # 70, 4.2 Video + webAssign
- 4.3 Riemann Sums and Definite Integrals
  - - Day 4 - 4.3 Day 1 Video + webAssign
    - Day 5 - 4.3 Day 2 Homework
- 4.4 The Fundamental Theorem of Calculus
  - - Day 6 - Practice AP Problem, 4.4 Day 1 Video + webAssign
    - Day 7 - Board Work, 4.4 Day 2 Homework
    - Day 8 - 4.4 Day 3 Video + webAssign
    - Day 9 - 4.4 Day 4 Video + webAssign
- 4.5 Integration by Substitution
  - - Day 10 - 4.5 Day 1 Video
    - Day 11 - Board Work, 4.5 Day 2 Video + webAssign
    - Day 12 - Board Work, 4.5 Day 3 Homework
- 4.6 Numerical Integration; Trapezoidal Rule
  - - Day 13 - Section 4.6 Video + webAssign + Section 4.6 Homework
- Day 14 - Chapter 4 Review Problems
- Day 15 - Go over Review Problems, Board Work
- Day 16 - CHAPTER 4 TEST
- Floating Assignment - Integration on the Calculator Worksheet

Ch 5 - Logarithmic, Exponential, and Other Transcendental Functions

- 5.2 The Natural Logarithmic Function: Integration
  - - Day 1 - 5.2 Day 1 Video + webAssign
    - Day 2 - 5.2 Day 2 Homework
- 5.3 Inverse Functions
- 5.4 Exponential Functions: Integration
  - - Day 3 - 5.3 Worksheet + 5.4 Day 1 Video + webAssign
- 5.5 Bases Other than e and Applications
  - - Day 4 - 5.5 Day 1 Video + 5.5 Day 2 Video + webAssign
- End of Section 5.1 to 5.5
  - - Day 5 - Chapter 5 Review Problems
    - Day 6 - Board Review
    - Day 7 - CHAPTER 5.1 to 5.5 QUIZ
- Review from Pre-Calculus
  - - Day 8 - Trig Review / Intro to Inverse Trig Worksheet
- 5.6 Inverse Trig Functions: Differentiation
  - - Day 9 - 5.6 Day 1 Homework
- 5.7 Inverse Trig Functions: Integration
  - - Day 10 - 5.7 Day 1 Homework
- Day 11 - Review Problems
- Day 12 - Practice Problem(s)
- Day 13 - CHAPTER 5 TEST

Ch 6 - Differential Equations

- 6.1 Slope Fields and Euler's Method
  - - Day 1 - 6.1 Day 1 - Slope Field Introduction Worksheet
    - Day 2 - 6.1 Day 2 - Remaining Problems in Notes + Homework
- 6.2 Differential Equations: Growth & Decay
  - - Day 3 - 6.2 Day 1 Homework
    - Day 4 - 6.2 Day 2 Homework
- 6.3 Separation of Variables
  - - Day 5 - 6.3 Day 1 Homework
    - Day 6 - Practice AP Problem, 6.3 Day 2 Homework
    - Day 7 - 6.3 Day 3 Homework
- End of Chapter
  - - Day 8 - 6.R Review Problems
    - Day 9 - Go over Review, CHAPTER 6 TEST (Take-Home Portion)
    - Day 10 - CHAPTER 6 TEST (In-Class Portion)

CCP Calculus I Final Exam

Ch 7A - Applications of Integration

- 7.1 Area of a Region Between Two Curves
  - - Day 1 - Slices Worksheet, 7.1 Day 1 Video + Homework
    - Day 2 - 7.1 Day 2 Video + Homework
- 7.2 Volume: Cross Sections; The Disk & Washer Method
  - - Day 3 - 7.2 Day 1 Video + Homework
    - Day 4 - Practice more known Cross Section Problems, Known Cross Sections Worksheet
- 7.4 Arc Length and Surfaces of Revolution
  - - Day 5 - Go over Worksheet, Practice Problems, 7.4 Video + Homework
- 7.2 Volume: Cross Sections; The Disk & Washer Method
  - - Day 6 - 7.2 Day 3 Video + Homework
    - Day 7 - 7.2 Day 4 Video + Homework
- 7.3 Volume: The Shell Method
  - - Day 8 - 7.3 Video + Homework
- Day 9 - Volumes of Revolution Worksheet
- Day 10 - 7.R Chapter 7 Review Sheet
- Day 11 - Go over Review, Practice AP Question, Study for Test
- Day 12 - CHAPTER 7 TEST

Ch 8 - Advanced Techniques in Integration

- 8.1 Basic Integration Rules
  - - Day 1 - 8.1 Day 1 Problem Set
- 8.2 Integration by Parts
  - - Day 2 - 8.2 Day 1 Problem Set
    - Day 3 - 8.2 Day 2 Problem Set
- 8.3 Trigonometric Integrals
  - - Day 4 - 8.3 Day 1 Problem Set
- 8.4 Trigonometric Substitution
  - - Day 5 - 8.4 Day 1 Problem Set
- 8.5 Integration by Partial Fractions
  - - Day 6 - 8.5 Day 1 Problem Set
    - Day 7 - 8.5 Day 2 Problem Set
- 8.6 Integration by Tables and Other Integration Techniques
  - - Day 8 - 8.6 Day 1 Problem Set
- 8.7 Indeterminate Forms and L’Hôpital’s Rule
  - - Day 9 - 8.7 Day 1 Problem Set
- 8.8 Improper Integrals
  - - Day 10 - 8.8 Day 1 Problem Set
- Day 11 - 8.Review Problem Set
- Day 12 - Go over Review
- Day 13 - CHAPTER 8 TEST

Ch 9A - Introduction to Series

- Floating Assignment: Chapter 9A Portfolio
- 9.1 Sequences
  - - Day 1 - 9.1 Day 1 Problem Set
- 9.2 Series and Convergence
  - - Day 2 - 9.2 Day 1 Problem Set
    - Day 3 - 9.2 Day 2 Problem Set
- 9.3 The Integral Test and p-Series
  - - Day 4 - 9.3 Day 1 - Packet 1, 7, 14, 17, 28
    - Day 5 - 9.3 Day 2 Problem Set
- 9.4 Comparison of Series
  - - Day 6 - 9.4 Day 1 - Packet 3, 16, 22, 24, 27
    - Day 7 - 9.4 Day 2 - Packet 2, 23, 28, 31, 33
- 9.5 Alternating Series
  - - Day 8 - 9.5 Day 1 - Packet 4, 11, 12, 18, 19
    - Day 9 - 9.5 Day 2 Problem Set
- 9.6 The Ratio and Root Tests
  - - Day 10 - 9.6 Day 1 - Packet 5, 6, 8, 9, 10, 13
- Day 11 - Ch 9A Review Problems: Packet 21, 25, 26, 30, 34, 36, 38, Portfolio Due
- Day 12 - Go over Review
- Day 13 - CHAPTER 9A TEST

Ch 9B - Manipulation of Series

- 9.7 Taylor Polynomials and Approximations, 9.8 Power Series, 9.9 Representation of Functions by Power Series
  - - Day 1 - Ch 9B Day 1 - Finish Day 1 Problems
    - Day 2 - Ch 9B Day 2 - Finish Day 2 Problems
    - Day 3 - Ch 9B Day 3 - Series Manipulation Set #1
    - Day 5 - Ch 9B Day 4 - Series Manipulation Set #2
    - Day 6 - Ch 9B Day 5 - AP Problem Set #1
    - Day 7 - Ch 9B Day 6 - AP Problem Set #2
- Day 8 - Go over HW, Review Ch 9B
- Day 9 - CHAPTER 9B TEST

Ch 10 - Polar, Parametric, and Vector Calculus

- 10.1 Conics and Calculus, 10.2 Plane Curves and Parametric Equations
  - - Day 1 - PPV Day 1 - Graphing Parametric
- 10.3 Parametric Equations and Calculus
  - - Day 2 - PPV Day 2 - Parametric Equations in Calculus
    - Day 3 - PPV Day 3 - Finish Problems
    - Day 4 - PPV Day 4 - Motion Involving Vectors
    - Day 5 - PPV Day 5 - Motion Involving Vectors
    - Day 6 - PPV Day 6
- 10.4 Polar Coordinates and Polar Graphs
  - - Day 7 - Go over PPV Day 6, Begin Polar Coordinates, PPV Day 7 - Parametric AP Problem(s)
    - Day 8 - PPV Day 8 - Polar Equations Problem Set
- 10.5 Area and Arc Length in Polar Coordinates, 10.6 Polar Equations of Conics and Kepler's Laws
  - - Day 9 - PPV Day 9 - Polar Equations in Calculus Problem Set
    - Day 10 - PPV Day 10 - AP Polar Questions
- Day 11 - PPV Review Problems
- Day 12 - CHAPTER 10 (Polar, Parametric, Vector) TEST

Ch 7B - Physics & Calculus

- 7.5 Work
- 7.7 Fluid Pressure and Fluid Force
- 7.6 Moments, Centers of Mass, and Centroids
  - - Day 1 - Moments Day 1 Notes, Moments Day 1 Problem Set
    - Day 2 - Moments Day 2 Notes, Moments Day 2 Problem Set
    - Day 3 - Assign Moments Project

GIANT FORMULA TEST - 92 Questions

- Find derivative for…
  - Trigonometric Functions
  - Logarithmic Functions, Exponentials, Constants, Polynomials, Absolute Value
  - Products, Quotients, Sums, Differences
  - Inverse Trigonometric Functions
- Find integral/anti-derivative for…
  - Trigonometric Functions
  - Exponentials, Constants, Polynomials, Involving logarithmic functions
  - Inverse Trigonometric Functions
- Formulas / Concepts
  - Avg RoC, MVT, Differentiability, Limit def’n of derivative, Avg Value, Int by Parts
  - Area of a region, volumes of revolution
  - Techniques for evaluating limits (6 of them)
- Other
  - Euler’s Method
  - Generic Formula for Taylor Series
  - Power Series c=0 for 4 main functions including interval of converge
  - Matching Section: Convergence Tests
  - Rectangular: Arc Length, Position, Displacement, Total Distance Traveled, Speed, Acceleration
  - Parametric: dy/dx = , Arc Length, Position, Total Distance Traveled, Speed, Acceleration
  - Polar: Basic conversion formulas, dy/dx = ?, Area, Arc Length

CCP Calculus II Final Exam

AP Exam Review

- Other General Resources

Final Exam Project

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