MATH 181: Resources Selected by Instructors

Topic 1: Calculating Limits
INCLUDING: Finite Limits, Infinite Limits, Limits at Infinity, & Limits and Asymptotes

• Quiz - Limit Theorems
  Quiz created by the University of Tennessee, Knoxville, Mathematics Department.
• Drill - Horizontal Asymptotes
  Ten practice problems.
• Drill - Vertical Asymptotes
  Ten more practice problems from the same site as above.

Topic 2: Graphs of f, f', f''
INCLUDING: Identifying which is which given graphs of all three, Sketching f' from a graph of f, & Sketching f from a graph of f'

• Try to Graph the Derivative Functionnew window
  Interactive graph that lets you practice Derivative Functions.
• Sketching the Graph of an Antiderivativenew window
  Another set of interactive graph exercises. Click "View Worksheet" to begin.
• Derivatives and Graphing
  10 practice exercises.
• Quiz on Derivatives and Graphing
  10 more practice problems from the same site as above.

Topic 3: Differentiation
INCLUDING: Chain Rule, Implicit Differentiation, Logarithmic Differentiation, & Parametric Curves

• Drill - Chain Rule
• Quiz on Differentiating Functions
  60 practice problems.
• Implicit Differentiation
  10 practice problems.
• Implicit Differentiation, part 2
  10 more practice problems, this time for finding dy/dx.
• Drill - Tangent Lines and Parametric Curves
  10 practice problems.
• Logarithmic Differentiation
  10 practice problems.
• Differentiation using the chain rulenew window
  Scroll down for the more challenging examples.

Topic 4: Related Rates and Optimization

• Related Rates and Optimization Tutorialnew window
  This tutorial shows how calculus can be used to solve real problems.
• Optimization Tutorialnew window
  In optimization problems we are looking for the largest value or the smallest value that a function can take.
• Related Rates Tutorialnew window
  An application of implicit differentiation.

Algebra & Trigonometry Review, and Math Study Skills

Using Semilog & Log-Log Plots to determine if a linear, power or exponential function is the most appropriate model & Optimization Problems

• YouTube channel of MC instructor Jason Leenew window
  Videos for Calculus 1, Calculus 2, and Discrete Math.
• Review of Algebra (PDF, )
  Review of essential algebra skills, includes practice problems for each skill.
• How to Succeed in Calculus (PDF, )
  Study skills and class preparation for calculus. Hint: practice, practice, practice.

Math Tutoring at Your Campus

• Rockville - Ackerman Learning Center
• Takoma Park/Silver Spring math tutoring
• Germantown math tutoring

Other Math Department Resources

• MC Mathematics Department
  Find links to many resources, including our eighteen different math and statistics courses offered at our three campuses and our math degrees.
• Algebra Makernew window
  Practice problems with answers, good for classes like Math 045/050 and Math 165.
• STEM Transfer Resourcesnew window
  This website provides interactive tools, engaging resources, and important services to help prospective and current STEM transfer students plan for a successful transition between two-year and four-year institutions.
• WolframAlphanew window
  Wolfram|Alpha introduces a fundamentally new way to get knowledge and answers— not by searching the web, but by doing dynamic computations based on a vast collection of built-in data, algorithms, and methods.
• MATLAB Centralnew window
  A place where you can get answers, challenge yourself and others, and share your knowledge. Tap into the knowledge and experience of over 100,000 community members and MathWorks employees.
• Significant Figures from the STEM Transfer Student Success Initiativenew window
  Tests and a video on learning significant figures.