The syllabus of Calculus for Engineers (UMA022) is available here.   

All lecture notes of Calculus for Engineers (UMA022) are available here.  Notes are in pdf, handwritten but not scanned. So Crl+F (try with lec) works most of the time.  

Tutorial Sheets 

1. Tutorial-0 

2. Tutorial-1 

3. Tutorial-2 

4. Tutorial-3 

5. Tutorial-4 

Recorded Classes

Lecture-1 (Convergence and Divergence of Sequence) 

Lecture-2 (Increasing, Decreasing and Bounded Sequences) 

Lecture-3 (Least Upper Bound and Greatest Lower Bound of Sequences) 

Lecture-4 (Sandwich Theorem for Sequences and Algebra of Limits) 

Lecture-4E1 (Exercise-8.1) 

Lecture-4E2 (Exercise-8.2) 

Lecture-5 (Infinite Series, Geometric Series, Telescopic Series, and n-th Term Divergence Test) 

Lecture-5E(Exercise-8.3) 

Lecture-6 (Harmonic Series and Integral Test) 

Lecture-6E(Exercise-8.4) 

Lecture-7(p-Test and Comparison Tests) 

Lecture-8 (Proof of Limit Comparison Test and Ratio Test) 

Lecture-8E(Exercise-8.5) 

Lecture-9 (Proof of Root Test) 

Lecture-10 (Alternating Series-I) 

Lecture-11(Alternating Series-II) 

Lecture-12(Alternating Series-III) 

Lecture-13 (Addition, Deletion and Reindexing)

Lecture-14 (Power Series-1) 

Lecture-15 (Power Series-2) 

Lecture-16 (Taylor Series-1) 

Lecture-17 (Taylor Series-2) 

Lecture-18 (Taylor Series-3) 

Lecture-19 (Limit of Real Valued Function) 

Lecture-20 (Limits for Multivariable Functions-I) 

Lecture-21 (Limits for Multivariable Functions-II, Partial Derivatives-I) 

Lecture-22 (Partial Derivatives-II, Chain Rule-I) 

Lecture-23 (Chain Rule-II, Directional Derivative-I) 

Lecture-24 (Directional Derivative-II) 

Lecture-25 (Extreme Values and Saddle Points-I) 

Lecture-26 (Extreme Values and Saddle Points-II) 

Lecture-27 (Absolute Maxima and Minima-I) 

Lecture-28 (Absolute Maxima and Minima-II) 

Lecture-29 (Introduction, Multiple Integrals-I ) 

Lecture-30 (Introduction, Multiple Integrals-II) 

Lecture-31 (Changing the Order of Integration, Multiple Integrals-III) 

Lecture-32 (Area by Double Integration, Multiple Integrals-IV) 

Lecture-33 (An Introduction to Triple Integral, Multiple Integrals-V) 

Lecture-34 (Introduction, Polar Co-ordinate System-I)

Lecture-35 (Introduction, Polar Co-ordinate System-II)

Lecture-36 (Symmetry Tests, Polar Co-ordinate System-III) 

Leecture-37 (Graphing Polar Equations, Polar Co-ordinate System-IV)

Lecture-38 (Double Integrals in Polar Form, Multiple Integrals-VI) 

Lecture-39 (Evaluating Polar Integrals, Multiple Integrals-VII)