Math1210 Calculus 1
Summer, 2015

Before classes start

• Quiz 0 on Monday will cover algebra and trigonometry topics that will be necessary in this class
  
• For Monday's lecture, watch videos:
      1 Slope of a Line (Review)
      2 Introduction to Limits (1.1)
      3 Limit Properties (1.3)
      4A & 4B Limits at Infinity (1.5)
  
  

  Monday, May 18

• Quiz 1 tomorrow will cover sections 1.1 and 1.3
  
• For tomorrow's lecture, watch videos:
     4C Squeeze Theorem (rest of 1.5)
     6 Continuity (1.6)
     7 Slope of a Curve (2.1)
     8 Two Problems, One Theme (2.1)
  
  

  Tuesday, May 19

• Quiz 2 tomorrow will cover sections 1.5, 1.6, 2.1
  
• For tomorrow's lecture, watch videos:
     5 Trigonometric Limits (1.4)
     9 The Derivative (2.2)
     10 Derivative Rules (2.3)
  
  

  Wednesday, May 20

• Quiz 3 tomorrow will cover sections 1.4, 2.2 and 2.3
  
• For tomorrow's lecture, watch videos:
     11 Derivative of Trigonometric Functions (2.4)
  
  

  Thursday, May 21

• Midterm 1 tomorrow will cover sections 1.1, 1.3-1.6, 2.1-2.4
  
  

  Friday, May 22

• Quiz 4 Tuesday will cover sections 1.4 and 2.4
  
• For Tuesday's lecture, watch videos:
     12 The Chain Rule (2.5)
     13 Higher Order Derivatives (2.6)
     14A & B Implicit Differentiation (2.7)
  Note: Monday is a holiday, there is no school! :)
  
  
  

  Monday, May 25

  This is a school holiday (Memorial Day)...your assignment for today is to relax and have some fun!
  
  

  Tuesday, May 26

• Quiz 5 tomorrow will cover sections 2.5, 2.6 & 2.7
  
• For tomorrow's lecture, watch videos:
     15A & B Related Rates (2.8)
     15.5 Differentials & Approximations (2.9)
  
  

  Wednesday, May 27

• Quiz 6 tomorrow will cover sections 2.8 and 2.9
  
• For tomorrow's lecture, watch videos:
     16A & B Maximum and Minimum Values (3.1)
  
  

  Thursday, May 28

• Midterm 2 tomorrow will cover sections 2.4-2.9, 3.1
  
  

  Friday, May 29

• Quiz 7 Monday will cover sections 2.9 and 3.1
  
• For Monday's lecture, watch videos:
     17A, B & C Monotonicity & Concavity (3.2)
     18A & B Local Extrema (3.3)
     19A & B Sketching the Graph of a Function (3.5)
  
  

  Monday, June 1

• Quiz 8 tomorrow will cover sections 3.2, 3.3 and 3.5
  
• For tomorrow's lecture, watch videos:
     20.5 Optimization Word Problems (parts 1 and 2) (3.4)
     20 Mean Value Theorem (3.6)
     21A & B Solving Equations Numerically (3.7)
  
  

  Tuesday, June 2

• Quiz 9 tomorrow will cover sections 3.4, 3.6 and 3.7
  
• For tomorrow's lecture, watch videos:
     22 Antiderivatives (3.8)
     23 Differential Equations (3.9)
     24A & B Introduction to Area (4.1)
  
  

  Wednesday, June 3

• Quiz 10 tomorrow will cover sections 3.8, 3.9, and 4.1
  
• For tomorrow's lecture, watch videos:
     25A & B The Definite Integral (4.2)
  
  

  Thursday, June 4

• Midterm 3 tomorrow will cover sections 3.2-3.9, 4.1-4.2
  
  

  Friday, June 5

• Quiz 11 Monday will cover sections 4.2 & some review questions
  
• For Monday's lecture, watch videos:
     26 The First Fundamental Theorem of Calculus (4.3)
     27 The Second Fundamental Theorem of Calculus (4.4)
     28A & B The Mean Value Theorem for Integrals (4.5)
  Note: Lecture Video #28C is an extra lecture with lots of integral practice. If you are having a hard time with u-substitution, I would highly recommend that video lecture.
  
  

  Monday, June 8

• Quiz 12 tomorrow will cover sections 4.3, 4.4, and 4.5
  
• For tomorrow's lecture, watch videos:
     29A & B Area of a Plane Region (5.1)
     30A & B Volume of Solids--Disk & Washer Methods (5.2)
     30C & D Volume of Solids--Shell Method/More Practice (5.3)
  
  

  Tuesday, June 9

• Quiz 13 tomorrow will cover sections 5.1, 5.2 and 5.3
  
• For tomorrow's lecture, watch videos:
     31A & B & C Length of a Plane Curve & Surface Area (5.4)
     32 Work (5.5)
     33A & B Moments & Center of Mas (5.6)
  
  

  Wednesday, June 10

• Quiz 14 tomorrow will cover sections 5.4, 5.5, and 5.6
  
• For tomorrow's lecture, start doing the final review problems.
  
  

  Thursday, June 11

• The final exam tomorrow will cover all sections covered in this course, which is most of chapters 1-5.
  
  

  Friday, June 12

• The final celebration of what you know from 1210 is today!
  
  
  

Class Notes

• 1.5, 1.6, 2.1-2.2 and 1.4 Notes
  
  
• 2.4 & Midterm 1 Review Notes
  
  
• 2.5-2.9 Notes
  
  
• 2.9-3.1 Notes
  
  
• 3.2-3.9 Notes
  
  
• 4.1-5.1 Notes
  
  
• 5.2-5.6 Notes
  
  

Miscellaneous

Algebra/Arithmetic/Trigonometry Reviews

• Old Quiz (on Fraction Arithmetic and Rules of Exponents) and Key
  Note: If you need review of rules of exponents, go here and watch 5.1 Integer Exponents and/or 7.1 Radicals and Rational Exponents lecture videos (or read through the post notes)..
  
  
• Fraction Arithmetic (with Key)
  Note: If you need review of arithmetic with rational expressions (fractions), go here and watch the 6.2, 6.3 and/or 6.4 lecture videos on arithmetic with rational expressions (or read through the post notes).
  
  
• Dividing Polynomials (with Key)
  Note: If you need a lecture video to remind you how to do polynomial division, you can go here and watch the 6.5 Dividing Polynomials video lecture. For synthetic division review, you can watch the 2.3 Synthetic Division lecture video on this page (or read through the post notes)..
  
  
• Trigonometry Review (trig functions of common angles)
  
  
• Practice finding asymptotes of rational functions and Key
  
  
• A family of algebraic/trigonometric function graphs that you should know. (Note: these all have cool animations so you can see how transformations change the base graph.)
  • Polynomial and Rational Function Curves
    
  • Trigonometric Function Curves
    
  • Exponential/Logarithmic Function Curves
    
  • Conic Sections (circles, ellipses, hyperbolas, parabolas)
    
  
  
  

  Exam Reviews

  • Midterm 1 Review: (covers sections 1.1, 1.3-1.6, 2.1-2.4)
    Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during the exam.
    
    Midterm 1 Review problems #1-8, from class notes (above)
        Key for Midterm 1 Review Problems (from notes)
    
    Chapter 1 Review (page 90-91, in text book)
    Concepts Test Problems #1, 2, 3, 5-8 all, 11, 12, 18, 19, 20
    Sample Test Problems #1, 3, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20, 24, 25, 29, 31, 33
    
    Chapter 2 Review (page 147-149, in text book)
    Concepts Test Problems #7, 10, 11, 16
    Sample Test Problems #1, 5-8 all, 9, 11, 16, 38
    
    In addition to these problems, I would recommend re-doing the quiz problems, if you need more practice.
    
    
    
  • Midterm 2 Review: (covers sections 2.5-2.9, 3.1)
    Note: For the exam, you may bring a 4x6 inch note card of notes (front and back). No electronics allowed during the exam.
    
    Chapter 2 Review (page 147-149, in text book)
    Concepts Test Problems #18, 19, 20, 23, 26, 27, 28, 29, 32, 33, 36
    Sample Test Problems #13-33 all, 35-41 all, 43, 44, 46, 47
    
    Chapter 3 Review (page 210-211, in text book)
    Concepts Test Problems #1-11 all, 21, 22, 24, 26, 27, 32
    Sample Test Problems #1-21 odd
    
    Homemade Extra Review
    Homemade Extra Review KEY
    
    
    
  • Midterm 3 Review: (covers sections 3.2-3.6, 3.8, 3.9, 4.1)
    Note: For the exam, you may bring a 4x6 inch note card of notes (front and back).
    
    Chapter 3 Review (page 209-211, in text book)
    Concepts Test Problems #4-12 all, 14, 15, 17, 19-26 all, 32, 35, 41, 42, 43, 45
    Sample Test Problems #21, 22, 23-35 odd, 40-43 all, 45, 53-75 odd
    
    Chapter 4 Review (page 270-273, in text book)
    Concepts Test Problems #1, 7, 8, 9
    Sample Test Problems #18-21 all
    
    Homemade Extra Review (do problems #1, 2, 3, 5, 7, 8, 10) and Key
    
    Extra Practice for Sketching Graphs and Story Problems and Key
    
    Extra Optimization Story Problems (a bit challenging)
    
    Finished problems that we missed from 3.4 notes (and from class today)
    
    
  • Final Exam Review:
    
    Final Exam Topics List
    
    Final Review Assignment
    
    Extra Final Review Problems and Extra Final Review Key (Answer to #37 should be 1/(4pi) .)
    
    Another teacher's reviews:
    his Midterm 1 Do #4, 5, 7-12 and here is the Key
    his Midterm 2 Do #3-6, 8 and here is the Key
    his Midterm 3 Do #3, 6-9 and here is the Key
    his Midterm 4 Do #1-5 and here is the Key