Course Catalog ECAT & NET Engineering Historical Vault (2025-2026 Archive)
Mathematics • Engineering Physics • Engineering Chemistry • Computer Science • English Private Batch

ECAT & NET Engineering Historical Vault (2025-2026 Archive)

Complete syllabus archive for UET ECAT, NUST NET, GIKI, and FAST covering comprehensive mathematics solutions, mechanics, thermodynamics, and electromagnetism.

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Private lecture sessions are strictly restricted to enrolled bees and staff. Free preview lectures (marked below) are open to any authenticated bee without payment. Once your enrollment is verified, you are automatically enrolled in the course cohort with full access to live sessions, on-demand VODs, companion notes, and post-lecture quizzes.

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Course Syllabus & Lecture Sessions

48 Lectures in Mathematics
Study Speed:
Course: 126h 16m Mathematics Pacing: 32h 26m
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MAT-01.01

Sets Theory Sheet 01 | Solution

Free Preview

Mathematics - Set Theory. Sir Kashif / Faculty.

~14 mins

MAT-02.01

Combination Sheet 01 | Solution

Enrolled Only

Mathematics - Combinations. Sir Kashif / Faculty.

~33 mins

MAT-03.01

Groups Theory Sheet 01 | Solution

Enrolled Only

Mathematics - Group Theory. Sir Kashif / Faculty.

~11 mins

MAT-04.01

Permutation Sheet 01

Enrolled Only

Mathematics - Permutations. Sir Kashif / Faculty.

~36 mins

MAT-05.01

Matrix Sheet 01 | Solution

Enrolled Only

Mathematics - Matrices and Determinants. Sir Kashif / Faculty.

~15 mins
MAT-05.02

Determinate Sheet 01 | Solution

Enrolled Only

Mathematics - Matrices and Determinants. Sir Kashif / Faculty.

~45 mins

MAT-06.01

Number System & Complex Numbers Sheet 01 | Solution

Enrolled Only

Mathematics - Number System and Complex Numbers. Sir Kashif / Faculty.

~14 mins

MAT-07.01

Trigonometry Sheet 01 | Solution

Enrolled Only

Mathematics - Trigonometry. Sir Kashif / Faculty.

~46 mins
MAT-07.02

Trigonometry Sheet 02 | Solution

Enrolled Only

Mathematics - Trigonometry. Sir Kashif / Faculty.

~49 mins
MAT-07.03

Trigonometry Sheet 03 | Solution

Enrolled Only

Mathematics - Trigonometry. Sir Kashif / Faculty.

~36 mins
MAT-07.04

Trigonometry Sheet 04 | Solution

Enrolled Only

Mathematics - Trigonometry. Sir Kashif / Faculty.

~41 mins
MAT-07.05

Trigonometry Sheet 05 | Solution

Enrolled Only

Mathematics - Trigonometry. Sir Kashif / Faculty.

~45 mins

MAT-08.01

Mathematical Induction & Binominal Theroem Sheet 01 | Solution

Enrolled Only

Mathematics - Mathematical Induction & Binomial Theorem. Sir Kashif / Faculty.

~38 mins

MAT-09.01

Sequances & Series Sheet 01 A | Solution

Enrolled Only

Mathematics - Sequence and Series. Sir Kashif / Faculty.

1h 5m
MAT-09.02

Sequances & Series Sheet 01 B | Solution

Enrolled Only

Mathematics - Sequence and Series. Sir Kashif / Faculty.

~24 mins

MAT-10.01

Analytical Geometry Sheet 01 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~13 mins
MAT-10.02

Analytical Geometry Sheet 02 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~13 mins
MAT-10.03

Analytical Geometry Sheet 03 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~13 mins
MAT-10.04

Analytical Geometry Sheet 04 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~8 mins
MAT-10.05

Analytical Geometry Sheet 05 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~12 mins
MAT-10.06

Practice Sheet 10 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~21 mins
MAT-10.07

Practice Sheet 09 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~24 mins
MAT-10.08

Practice Sheet 08 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~26 mins
MAT-10.09

Practice Sheet 07 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

1h 6m
MAT-10.10

Practice Sheet 06 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~57 mins
MAT-10.11

Practice Sheet 05 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~50 mins
MAT-10.12

Practice Sheet 04 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

1h 9m
MAT-10.13

Practice Sheet 03 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~40 mins
MAT-10.14

Practice Sheet 02 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

~57 mins
MAT-10.15

Practice Sheet 01 | Solution

Enrolled Only

Mathematics - Analytical Geometry. Sir Kashif / Faculty.

6h 40m

MAT-11.01

Linear Programming Sheet 01 | Solution

Enrolled Only

Mathematics - Linear Programming. Sir Kashif / Faculty.

~29 mins

MAT-12.01

Vector Sheet 01 | Solution

Enrolled Only

Mathematics - Vector. Sir Kashif / Faculty.

~18 mins

MAT-13.01

Conic Section Sheet 01 | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

~10 mins
MAT-13.02

Conic Section Sheet 02 | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

~19 mins
MAT-13.03

Practice Sheet 08 | Parabola | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

1h 3m
MAT-13.04

Practice Sheet 07 | Hyperbola | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

1h 5m
MAT-13.05

Practice Sheet 06 | Ellipse | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

~59 mins
MAT-13.06

Practice Sheet 05 | Circle | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

~41 mins
MAT-13.07

Practice Sheet 04 | Circle | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

~45 mins
MAT-13.08

Practice Sheet 03 | Circle | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

~30 mins
MAT-13.09

Practice Sheet 02 | Circle | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

~18 mins
MAT-13.10

Practice Sheet 01 | Circle | Solution

Enrolled Only

Mathematics - Conic Section. Sir Kashif / Faculty.

~47 mins

MAT-14.01

Probability Sheet 01 | Solution

Enrolled Only

Mathematics - Probability. Sir Kashif / Faculty.

~11 mins

MAT-15.01

Integration Sheet 01 A | Solution

Enrolled Only

Mathematics - Integration. Sir Kashif / Faculty.

~46 mins
MAT-15.02

Integration Sheet 01 B | Solution

Enrolled Only

Mathematics - Integration. Sir Kashif / Faculty.

~34 mins

MAT-16.01

Derivative Sheet 01 | Solution

Enrolled Only

Mathematics - Derivative. Sir Kashif / Faculty.

~12 mins

MAT-17.01

Function & Limit of Function Sheet 01

Enrolled Only

Mathematics - Function & Limit of Function. Sir Kashif / Faculty.

~13 mins
MAT-17.02

Function & Limit of Function Sheet 02

Enrolled Only

Mathematics - Function & Limit of Function. Sir Kashif / Faculty.

~7 mins