Welcome to Maplets for Calculus

	Click on each icon to see a Video Introduction.
	Click here to purchase a personal copy or site licenses.
	Click here for information about configuring your browser.

Pre-Calculus

1. Basic 7 Functions
   View the graphs of 7 basic functions.
2. Shifting Functions
   Learn to shift the graph of a function left or right and up or down.
3. Reflecting Functions (alpha version)
   Understand the reflection of a function through the x-axis, the y-axis and the origin.
4. Factor a Quadratic (alpha version)
   Practice factoring quadratic functions.
5. The Shape of a Quadratic (alpha version)
   Determine what happens to the shape of the graph of a quadratic function as the coefficients are changed.
6. Maximum or Minimum of a Quadratic (alpha version)
   Find the maximum or minimum of a quadratic function by completing the square.
7. Domain Finder (alpha version)
   Identify the domain of a function.

---

8. Shifting Transcendental Functions (alpha version)
   Learn the graphs of exponential, logarithmic and trigonometric functions by shifting them left or right and up or down.
9. Radioactive Decay (alpha version)
   Practice exponential decay of radioactive elements.
10. Solving Logarithmic Equations (alpha version)
    Practice solving logarithmic equations and checking for extraneous roots.

---

11. Pythagorean Theorem (alpha version)
    Practice computing the third side of a right triangle using the Pythagorean Theorem.
12. Triangle Definitions of Trig Functions (alpha version)
    Practice the definitions of sin, cos, tan, cot, sec. and csc using triangles.
13. Shifting Trig Functions (alpha version)
    Practice identifying the graphs of shifted trig functions.
14. Properties of Sine Curves (alpha version)
    Identify the maen value, amplitude, period and phase shift of the graph of a sine curve.
15. Solving SAS Triangles using Trig Laws (alpha version)
    Practice finding the sides and angles of a triangle using the Laws of Sines and Cosines for Side-Angle-Side triangles.
16. 2D Vector Algebra (alpha version)
    Practice the algebra of 2 dimensional vectors.

---

Calculus - Limits

• Limits Pre-Test TAMU students: Please complete this pre-test before starting the following 3 Maplets on limits.
17. Left and Right Limits and Continuity, using a Graph
    Learn to identify left and right limits, continuity from the left and right and their relation to 2-sided limits and continuity from the graph of the function.
18. Left and Right Limits and Continuity, using Numeric Data
    Learn to identify left and right limits, continuity from the left and right and their relation to 2-sided limits and continuity from the numerical values of the function.
19. Left and Right Limits and Continuity, using a Formula
    Learn to identify left and right limits, continuity from the left and right and their relation to 2-sided limits and continuity from the formula for the function.
• Limits Post-Test TAMU students: Please complete this quiz after finishing the previous 3 Maplets on limits.

---

20. The Epsilon-Delta Definition of Continuity
    Visualize the precise definition of continuity by finding the delta for a given epsilon.
21. Precise Definition of Limits, Linear Proofs
     Proof A  Proof B  Proof C  Proof D These are not Maplets. Print them and fill in the blanks.

---

Calculus - Derivatives

22. From Secant Slopes to Tangent Slope, using a Graph and Numeric Data
    Calculate the slopes of secant lines and use them to find the slope of the tangent line.
23. From Secant Slopes to Tangent Slope, using a Formula
    Use the slopes of secant lines to find the slope of the tangent line, algebraically. Try some numeric points and then some symbolic points.
24. Computing Tangent Lines
    Find the equation of the line tangent to the graph of a function. Try some numeric points and then some symbolic points.

---

25. Chain Rule (alpha version)
    Practice computing derivatives with the chain rule.
26. Derivative Drill
    Practice computing derivatives.
27. Implicit Differentiation
    Find the derivative of an implicitly defined function.
28. Logarithmic Differentiation (alpha version)
    Practice computing derivatives using logarithmic differentiation.
29. Derivatives of Inverse Functions with a Graph (alpha version)
    Find the derivative of the inverse of a given function with a graphical visualization.
30. Derivatives of Inverse Functions
    Find the derivative of the inverse of a given function at some numeric points and then some symbolic points.

---

• Graphing Pre-Test TAMU students: Please complete this pre-test before starting the following 4 Maplets on graphing.
31. Properties of the Graph of a Function - Terminology
    Learn the terminology to describe the properties of the graph of a function.
32. Properties of the Graph of a Function
    Learn to identify the properties of a function, its derivative and its second derivative from the graph of the function.
33. Properties of the Graph of the Derivative
    Learn to identify the properties of a function, its derivative and its second derivative from the graph of the derivative.
34. Properties of the Graph of the Second Derivative
    Learn to identify the properties of a function, its derivative and its second derivative from the graph of the second derivative.
• Graphing Post-Test TAMU students: Please complete this quiz after finishing the previous 4 Maplets on graphing.

---

35. Linear Approximation (alpha version)
    Practice finding the linear approximation to a function and using it to estimate the value of the function at a nearby point.
36. Linear & Quadratic Approximation (alpha version)
    Practice finding the linear and quadratic approximations to a function and using them to estimate the value of the function at a nearby point.

---

37. Related Rates
    When two variables are related by an equation their derivatives are also related.
38. L'Hospital's Rule (alpha version)
    Practice using l'Hospital's rule for computing limits.
39. Position to Velocity to Acceleration (alpha version)
    Given the position of an object, find its velocity and acceleration.
40. Parametric Tangent Lines (alpha version)
    Find the parametric line tangent to a parametric curve.

---

41. Finding Anti-Derivatives (alpha version)
    Practice finding anti-derivatives of simple functions.
42. Acceleration to Velocity to Position (alpha version)
    Given the acceleration of an object with initial conditions, find its velocity and position.
43. Anti-Derivative Drill
    Practice finding anti-derivatives of more complicated functions.

---

Calculus - Integrals

44. Integration by Substitution
    Practice computing integrals by the method of substitution.
45. Integration by Parts
    Practice computing integrals by integration by parts.
46. Trig Integrals
    Practice computing integrals of products of powers of trig functions.
47. Trig Substitutions
    Practice computing integrals by making trig substitutions.
48. Partial Fractions: General Decomposition
    Practice finding general partial fraction decompositions.
49. Partial Fractions: Finding Coefficients
    Practice finding the coefficients in a partial fraction decomposition.
50. Partial Fractions: Evaluating the Integral (alpha version)
    Practice evaluating the integrals that arise from a partial fraction decomposition.

---

51. Indefinite Integral Drill
    Practice computing indefinite integrals.
52. Definite Integral Drill
    Practice computing definite integrals.
53. Trapezoid Rule (alpha version)
    Practice approximating definite integrals using the trapezoid rule.

---

54. Area of a Region
    Visualize the slicing of a region and compute its area.
55. Volumes by Slicing
    Visualize the slicing of a solid and compute its volume.

---

• Integration Applications Pre-Test TAMU students: Please complete this pre-test before starting the following 2 Maplets on applications of integration.
56. Volumes of Revolution
    Visualize a solid of revolution and compute its volume using disks, washers or cylinders.
57. Average Value of a Function
    Find the average value of a function approximately and exactly.
• Integration Applications Post-Test TAMU students: Please complete this quiz after finishing the previous 2 Maplets on applications of integration.

---

58. Arc Length
    Visualize and compute the arc length of a curve.
59. Surface Area
    Visualize and compute the surface area of a surface.
60. Work: Spring
    Compute the force and work required to stretch a spring.
61. Work: Gravity
    Compute the force and work due to gravity.
62. Work: Rope (alpha version)
    Compute the work needed to lift a weight using a massive rope.
63. Fluid Force (alpha version)
    Compute the fluid force on a plate submerged in a bucket of water.

---

Calculus - Differential Equations

• Differential Equations Pre-Test TAMU students: Please complete this pre-test before starting the following 2 Maplets on differential equations.
64. Separable Differential Equations
    Practice solving separable differential equations.
65. Linear Differential Equations
    Practice solving linear differential equations.
• Differential Equations Post-Test TAMU students: Please complete this quiz after finishing the previous 2 Maplets on differential equations.

---

Calculus - Sequences and Series

66. Sequence Drill
    Determining the convergence and limit of a sequence of numbers.
67. Geometric Series
    Practice computing geometric series.
68. Series Convergence Test Drill
    Identify and apply convergence and divergence tests for series.

---

Calculus - Curvilinear Coordinates

69. Basic 14 Polar Curves
    View the graphs of 14 basic polar curves.
70. Polar Curve Identification
    Identify the graphs of polar curves.