Session 06-06 - Mock Exam: Calculus

Section 06: Integral Calculus

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

Not 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!