What you’ll learn

Turn word problems into clear mathematical models
Use the right theorem or method without guessing
Blend analytic techniques with numerical intuition
Check your own work with simple sanity checks and visuals

Curriculum

M1 Limits & continuity — 2 lessons

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Limits from graphs & algebra

Lesson outline – video coming soon.

14m
Locked University – Second Year 14 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Limits from graphs & algebra and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
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Continuity & intermediate value

Lesson outline – video coming soon.

12m
Locked University – Second Year 12 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Continuity & intermediate value and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now

M2 Differentiation — 3 lessons

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Definition of derivative

Lesson outline – video coming soon.

12m
Locked University – Second Year 12 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Definition of derivative and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now
Rules (product/quotient/chain)

Lesson outline – video coming soon.

16m
Locked University – Second Year 16 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Rules (product/quotient/chain) and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now
Implicit differentiation

Lesson outline – video coming soon.

12m
Locked University – Second Year 12 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Implicit differentiation and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now

M3 Applications of derivatives — 2 lessons

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Optimization & related rates

Lesson outline – video coming soon.

16m
Locked University – Second Year 16 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Optimization & related rates and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now
Mean value theorem & monotonicity

Lesson outline – video coming soon.

14m
Locked University – Second Year 14 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Mean value theorem & monotonicity and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now

M4 Integration basics — 4 lessons

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Antiderivatives & substitution

Lesson outline – video coming soon.

16m
Locked University – Second Year 16 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Antiderivatives & substitution and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now
Area & Riemann sums

Lesson outline – video coming soon.

12m
Locked University – Second Year 12 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Area & Riemann sums and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now
FTC I & II

Lesson outline – video coming soon.

14m
Locked University – Second Year 14 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to FTC I & II and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now
Average value & applications

Lesson outline – video coming soon.

12m
Locked University – Second Year 12 min

Calculus IV – Multiple Integrals & Vector Calculus

Get instant access to Average value & applications and all 8 modules in Calculus IV – Multiple Integrals & Vector Calculus, plus exclusive platform features to accelerate your learning.
- Full course access • All 8 modules & lessons
- 24/7 AI Tutor • Unlimited questions & instant explanations
- Lifetime access • All future updates & new content
- Resume builder • Portfolio feedback & career guidance
- Interview prep • Whiteboard practice & drills
- Certificate • Industry-tested completion credentials
Enroll Now

Projects

Model a real-world system (growth, decay, motion, or heat flow) or dataset
Write a short report comparing analytic and numerical solutions
Create study notes and formula sheets you can reuse in exams

Prerequisites

Prior exposure to high-school algebra and functions
For ODE/PDE: at least Calculus I (or concurrent)
Willingness to pause and re-watch explanations until they click

Who is this for?

Students currently in a university math course who want a second pass
STEM majors building a stronger analysis foundation
Self-taught learners filling in gaps before ML/AI or physics

Outcomes

Less “formula hunting”, more structured problem-solving
A reusable set of notes, diagrams, and checklists
More confidence walking into problem sets and exams

Resources

Tip: Right-click → “Save link as…” if your browser opens the file.

FAQ

Is this beginner-friendly?

Yes. We start from mental models and build up with guided practice and plenty of worked examples.

Will I need extra software?

We stick to free or standard tools. Any optional extras are clearly marked and have alternatives.

Do I get updates?

Yes—lifetime access with updates as the field, tools, and exam expectations evolve.

Calculus IV – Multiple Integrals & Vector Calculus

What you’ll learn

Curriculum

Projects

Prerequisites

Who is this for?

Outcomes

Resources

FAQ

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Calculus IV – Multiple Integrals & Vector Calculus

What you’ll learn

Curriculum

Projects

Prerequisites

Who is this for?

Outcomes

Resources

FAQ

Conversation History

Settings

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