Draft Projects/Activities/GraphCalc 111 Syllabus
Sections from Steward 3rd Ed.
  • 0.1 Functions and Their Graphs
  • 0.2 Types of Functions; Shifting&Scaling
  • 0.3 Graphing Calculators and Computers
  • 0.4 Principles of Problem Solving
  • 0.5 A Preview of Calculus
  • AppxG Lies My Calc&Computer Told Me
  • 1.1 The Tangent and Velocity Problems
  • 1.2 The Limit of a Function
  • 1.3 Calculating Limits Using the Limit Laws
  • 1.4 The Precise Definition of a Limit
  • 1.5 Continuity
  • 1.6 Limits at Infinity; Horizontal Asymptotes
  • 1.7 Tangents, Velocities etc Rates of Change
  • 2.1 Derivatives
  • 2.2 Differentiation Formulas
  • 2.3 Rates of Change in Nat.&Soc. Sciences
  • 2.4 Derivatives of Trigonometric Functions
  • 2.5 The Chain Rule
  • 2.6 Implicit Differentiation
  • 2.7 Higher Derivatives
  • 2.8 Related Rates
  • 2.9 Differentials; Linear&Quadratic Approx's
  • 2.10 Newton's Method
  • 3.1 Exponential Functions & their Derivatives
  • 3.2 Inverse Functions
  • 3.3 Logarithmic Functions
  • 3.4 Derivatives of Logarithmic Functions
  • 3.5 Exponential Growth and Decay
  • 3.6 Inverse Trigonometric Functions
  • 3.7 Hyperbolic Functions
  • 3.8 Indeterminate Forms &l'Hospital's Rule
  • 4.1 Maximum and Minimum Values
  • 4.2 The Mean Value theorem
  • 4.3 Monotonic Functions & 1st Deriv. Test
  • 4.4 Concavity and Points of Inflection
  • 4.5 Curve Sketching
  • 4.6 Graphing with Calculus and Calculators
  • 4.7 Applied Max. & Min. Problems
  • 4.8 Applications to Economics
  • 4.9 Antiderivatives
  • 5.1 Sigma Notation
  • 5.2 Area
  • 5.3 The Definite Integral
  • 5.4 The Fundamental Theorem of Calculus
  • 5.5 The Substitution Rule
  • 5.6 The Logarithm Defined as an Integral
    • Proposed Projects-Based 111 Syllabus
  • Weeks 0 and 1: 0.1,0.2,0.3,0.4 and 1.1
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  • Week 2: 1.2,1.3,1.4
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  • Week 3: 1.5,1.6,1.7
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  • Week 4: 2.1,2.2,2.3
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  • Week 5: 2.4,2.5,2.6
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  • Week 6: 2.7,2.8
    		• Assign Houdini Project
  • Week 7: 2.9,3.1,3.2
    		• ACTIVITY: Calculus 111: The Next Generation
  • Week 8: 3.3,3.4
    		• Houdini Project Due.
  • Week 9: 3.5,3.8
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  • Week 10:4.1,4.2
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  • Week 11:4.3,4.4,4.5
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  • Week 12:4.6,4.7
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  • Week 13:5.2,5.3
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  • Week 14:5.4,5.5
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    SKIP: 3.6 inverse trig, 4.8 Applications to Economics, 5.1 Sigma Notation. 2.9 Lin and Quad Approx: skip Quad, just mention in class; will be done in 112 with Series. Possly skip Newton's.
    Bob Strichartz's Syllabus
    Week 0(0.1,0.2) Week 1(1.1,1.2,1.3) Week 2(1.4,1.5,1.6) Week 3(1.7,2.1,2.2)
    Week4(2.4,2.5,2.6) Week 5(2.7,2.8) Week 6(2.9,2.10,3.1) Fall Break (--)
    Week 7(3.2,3.3) Week 8(3.4,3.5,3.6) Week 9(3.8,4.1) Week 10(4.2,4.3,4.4)
    Week 11(4.5,4.7,4.8) Week 12(5.1,5.2,5.3) Week 13(5.4&ThxBrk) Week 14(5.5,5.6)