Contour
Calculus I with Apex Calculus
A workbook created in Spring 2017 to use for Calculus I using Apex Calculus textbook.  Most of the worksheets in this book also appear in other places.
Feel free to email me at khopkins@sbuniv.edu if you think there is an error in any worksheet (please be as specific as possible-a screenshot of the error would be most helpful).  I tested them quite a bit, but there could be things that come up that I didn’t encounter in my testing.
I would also like to know if you used these and found them useful.  If so, can you think of ways I could expand them?
Some are "self check" and others have you enter the answer and GeoGebra does the checking.  I would encourage you to watch an introductory video (http://youtu.be/zzz42Y_qZJw) to get a feel for how the worksheets operate.
Table des matières
Exam 1 Material-Review of Algebra and Limits
- Representing a Function in Four Ways-Section 1.1
 - Tables as Functions: Solving and Evaluating-Section 1.1
 - Graphs as Functions: Solving and Evaluating-Section 1.1
 - Formulas as Functions: Solving and Evaluating-Section 1.1
 - Basic Toolkit Functions-Section 1.1 with Trig Added
 - Graphing Functions-Section 1.1
 - Finding Domain and Range of Functions: Section 1.1
 - Algebra of Function
 - Shifts or Translations-Section 1.2
 - Reflections-Section 1.2
 - Stretch/Compression-Section 1.2
 - Simpler Determining the Transformation-Section 1.2
 - More Difficulty Determine Transformation-Section 1.2
 - Slope of a Line Given Two points-Section 1.3
 - Slope Intercept form from Table-Section 1.3
 - What do m and b do to graph of a line-Section 1.3
 - Line Equation-Section 1.3
 - Equation of Line from points-Section 1.3
 - Matching graph with line equation-Section 1.3
 - Simplify Expressions with Exponents-Section 1.4
 - Simplify Expressions with Exponents, More Difficult-Section 1.4
 - Simplify Expressions, More Complicated-Section 1.4
 - Shifted Form of Quadratic-Section 1.5
 - Demonstration-Quadratics-Section 1.5
 - Quadratics and Parabolas-Section 1.5
 - Polynomial Inequalities-Section 1.6
 - Graphs of the Exponential-Section 1.7
 - Matching Exponential Equations-Section 1.7
 - Compounding Periods-Section 1.7
 - Logarithm to Exponential-Section 1.8
 - Exponential to Logarithm-Section 1.8
 - Solving Exponential Equations-Section 1.8
 - Trig Review
 - Section 1.1-Piecewise Defined Functions
 - Section 1.1-Limits using numerical method
 - Section 1.1-Functions with no limit at a point
 - Section 1.1-Estimating Limits from Given Functions
 - Section 1.1 and 1.3-Work with difference quotient
 - Section 1.4-One-sided limits
 - Section 1.5-The Intermediate Value Theorem
 
Exam 2 Material-Section 1.6, 1.2, Chapter 2
- Section 1.6-Limit as x approaches infinity
 - Section 1.6-Horizontal asymptotes
 - Section 1.2-Precise definition of the limit
 - Section 1.6-Precise definition of the limit as x approaches infinity
 - Section 1.6-Precise definition of infinite limit
 - Section 1.1, 4, and 2.1-Secant lines compared to tangent lines
 - Section 2.1-Limits with Difference Quotients
 - Section 2.1 in Apex-Sketching Graph of Derivative
 - Section 2.3-2.5 from Apex-Derivative Practice
 - Section 2.5-Chain Rule
 - Section 2.6-Implicit Differentiation
 - Section 2.6-Implicit Differentiation
 
Exam 3 Material-Section 2.7-Section 4.4
- Section 2.7 in Apex-Inverse Functions
 - Section 3.1 Apex-Absolute Extreme Values
 - Section 3.2-Mean Value Theorem
 - Section 3.3 Apex-Increasing versus Decreasing
 - Section 3.4 Apex-Concavity
 - Section 3.5-Curve Sketching
 - Section 4.1 Apex-Newton's Method
 - Section 4.2: Apex-Related Rates-Ladder Falling
 - Section 4.2 Apex-Related Rates-Man Walking
 - Section 4.2 Apex-Related Rates-Rotating Spotlight
 - Section 4.2 Apex-Related Rates-Boat Pulling
 - Section 4.3 Apex-Applied Max Min
 - Section 4.4 Apex-Differential
 
Exam 4 Material-Section 5.1-5.5, 6.1, 7.1-7.3
- Apex Section 5.1-Antiderivatives-Multiple Choice Problems
 - Apex Section 5.1-Indefinite Integral
 - Apex Section 5.2-Areas
 - Apex Section 5.3-Riemann Sums
 - Apex Section 5.3-Riemann Sums-Random Width Intervals
 - Apex Section 5.4-Part 2 of Fundamental Theorem of Calculus
 - Apex Section 5.4: Part 1 of Fundamental Theorem of Calculus
 - Apex Section 5.5-Numerical integration
 - Apex Section 6.1-Integration using substitution
 - Apex Section 7.1-Areas
 - Apex Section 7.2-Method of Disks
 - Apex Section 7.2-Method of Washers
 - Apex Section 5.3-Method of Shells