Session 06-06 - Mock Exam: Calculus

Section 06: Integral Calculus

Author

Dr. Nikolai Heinrichs & Dr. Tobias Vlcek

Mock Exam Session

Welcome to Mock Exam 06

Comprehensive Assessment: Differential and Integral Calculus

  • This exam covers Sections 05 and 06 (Differential & Integral Calculus)
  • Total: 100 points across 3 problems
  • Working time: 180 minutes (plus 15 min reading)

Permitted Aids

What You Can Use

  • Non-programmable calculator (no graphing)
  • Drawing instruments (ruler, compass)
  • Monolingual dictionary

. . .

WarningNot Permitted
  • Formula sheets or notes
  • Programmable/graphing calculators
  • Electronic devices

Success Strategies

Critical Exam Tips

Maximize Your Performance

Time Management:

  • Allocate time proportionally: ~0.7 minutes per point
  • Don’t get stuck! Move on after 10 minutes without progress
  • Save 10-15 minutes at the end for review

. . .

Problem Selection:

  • Start with the problem that feels most comfortable
  • Secure foundation points first (parts a-c typically)
  • Partial credit is available - show your method even if incomplete

What to Do During the Exam

Systematic Approach

For Each Problem:

  1. Read carefully - every word matters, especially units and restrictions
  2. Identify what’s given and what you need to find
  3. Plan your approach before writing
  4. Show all work - clear steps earn partial credit
  5. Label everything - variables, units, axes, key points
  6. Verify solutions - substitute back when possible
  7. State conclusions in complete sentences when asked

Logistics & Next Steps

Examination Procedure

During the Exam:

  • Work silently and independently
  • Raise your hand if you need clarification (factual only, no hints)
  • You may leave early if finished, but cannot return
  • Submit all work sheets (including scratch paper if used)

. . .

After the Exam:

  • Take a well-deserved break!
  • Don’t stress about what you couldn’t complete

Course Summary

What We’ve Covered in Integral Calculus

  • Session 01: Antiderivatives & Indefinite Integrals
  • Session 02: Definite Integrals & FTC
  • Session 03: Area Problems & Basic Applications
  • Session 04: Area Between Curves & Economic Surplus
  • Session 05: Integration by Parts & Synthesis
  • Session 06: Mock Exam

Next Section Preview

Session 07: Probability & Statistics

Next time we will:

  • Review Mock Exam solutions in detail
  • Begin Section 07: Probability & Statistics
  • Introduce descriptive statistics

. . .

Preparation:

  • Review any topics you found challenging today
  • Bring specific questions about exam problems
  • Don’t worry if some parts were difficult - that’s the point of practice!