C T GROUP OF INSTITUTIONS SHAHPUR CAMPUS, JALANDHAR INSTRUCTION PLAN (THEORY) SEM: ODD Institution: CTIEMT Department : Applied Sciences Name of the Faculty : Shaifalika Tripathi Course Code: BTAM-101 Course Title: Engg. Mathematics-I Sem: 1st Class: B.tech 1st Batch: 2014-18 (A) Term Planner: For Lectures/ Tutorials (Faculty member must fill the complete detail to arrive at effective no. of lectures available) Total weeks available (A) Part –I 6 of Sem Part –II 8 of Sem Total 14 Lectures/ week Total Tutorial Lectures /Week (B) T =AxB 5 30 1 6 2 1 3 1 23 4 5 40 1 8 5 1 1 1 32 6 5 70 1 14 7 2 4 2 55 10 (C) Total Holidays Tutorials ( D) (E) Expected Function 5% Effective Leaves by Etc. & Conting- No of Faculty MSTs ency Lectures NB: Consider (F) (H) &Tutorials Only 2 MSTs Lect/Tut (G) =T/D-(E+F G+H) Lec Tut ● Before implementing this plan, please discuss with Dean (Academics) and get it approved In the case of the teacher teaching more than one subjects, separate plan will be made for the different subjects. ● This plan is to be communicated to the students within one week of the start of the semester or teaching work. ● Please refer to the Academic Calander for the current semester. (B) Term Planner: For academic activities other than Lectures/Tutorials to be undertaken as part of Internal Assessment for the course. Sr. Type of No academic activity* Total no. of Ist Academic Activity 2nd Academic Activity 3rd Academic Activity academic activities to be undertaken Sem. Date of Date of Date of Date of Date of Date of allotment Submission allotment Submission allotment Submission 1 Assignments 3 20/08/13 26/08/13 20/09/13 26/09/13 2 Class Tests 2 01/09/13 28/10/13 17/10/13 22/10/13 *Type of activity: Assignments, Case Studies, Presentations, Quiz, Projects, Class Tests,GD’s etc. Marks of assess ment 10 Imp. Note: At the time of preparation of the Instruction Plan, the Date column given below is not to be filled for the entire term but only for the first fortnight. It will be updated every fortnight, topic wise & communicated to the students. INSTRUCTION PLAN BEFORE MST-I Sr. No TEACHING SCHEDULE CHAPTER Sr LECTUREWISE BREAKAGE No 1 Partial Derivatives 1 2 3 4 5 2 Applications of Partial Differentiation 6 7 1 2 3 4 5 3 Multiple Integrals 1 2 3 4 5 Function of two or more variables; Partial differentiation Homogeneous functions and Euler’s theorem Composite functions Total derivative Derivative of an implicit function Change of variable Jacobians Tangent and normal to a surface; Taylor’s and Maclaurin’s series for a function of two variables Errors and approximations; Maxima and minima of function of several variables Lagrange’s method of undetermined multipliers A brief introduction of cylinder, cone and standard conicoids Double and triple integral and their evaluation change of order of integration change of variable Application of double and triple integration to find areas and volumes. Date No. of Lec. Mode of Delivery* Students Role** Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture 1 Lecture Lecture Participation/ Discussion 1 2 1 Participation/ Discussion Participation/ Discussion 1 Lecture 1 Lecture Lecture 1 Participation/ Discussion Participation/ Discussion Participation/ Discussion 1 Lecture Participation/ Discussion Lecture Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Lecture Participation/ Discussion 1 1 Participation/ Discussion 2 2 1 2 1 2 2 Participation/ Discussion INSTRUCTION PLAN BEFORE MST-II Sr. No TEACHING SCHEDULE CHAPTER Sr LECTUREWISE BREAKAGE No 4 Vector Calculus 1 Scalar and vector fields 2 differentiation of vectors, velocity and acceleration Vector differential operators: Del, Gradient, Divergence and Curl, their physical interpretations Formulae involving Del applied to point functions and their products Line, surface and volume integrals Date No. of Mode of Students Lec. Delivery* Role** Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture Participation/ Discussion Lecture 2 Lecture 1 Lecture Lecture Participation/ Discussion 2 3 4 5 2 2 2 2 5 Application 1 of Vector Calculus 2 3 4 6 7 Differential calculus Integral calculus 1 2 3 4 1 Flux, Solenoidal and Irrotational vectors 2 Gauss Divergence theorem(without proofs). and their applications Green’s theorem in plane, (without proofs). and their applications Stoke’s theorem (without proofs). and their applications Curve tracing: Tracing of Standard Cartesian; Parametric and Polar curves . Curvature of Cartesian Parametric and Polar curves Rectification of standard curves 2 2 2 2 1 Participation/ Discussion Participation/ Discussion Participation/ Discussion 2 2 3 4 Areas bounded by standard curves Volumes and surfaces of revolution of curves Applications of integral calculus to find centre of gravity and moment of inertia 2 Lecture Lecture Participation/ Discussion Lecture Participation/ Discussion Participation/ Discussion 2 2 SYLLBUS LEFT/YET TO BE COVERED AFTER MSTS Sr No TEACHING SCHEDULE CHAPTER Sr. No LECTURER BREAKAGE Date No. of Mode Students Lec. of Role** Reqd. Delivery* 1 2 3 4 TUTORIAL DETAIL Sr. No Academic Activity Date No. of Mode of Lec. Delivery* Reqd Board 3 Students Role** Participation/ Discussion 1 Numerical solving 2 Doubt Clearing 3 Discussion Participation/ Discussion 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 Group Discussion 1 2 1 Discussion Participation/ Discussion -------- Participation/ Discussion -------- Participation/ Discussion Class test Question Paper Solving * Mode of delivery may be lectures, Film/CD, Case study etc. ** Students Role: Group Discussion, Presentation, Assignment etc ***Academic Activity :(Class Test, Presentation, Case Study, Paper Solving, Doubt clearing or any other). Syllabus Coverage Reports (SCR) – Dates of submission are Note: Teacher will judiously plan the coverage of syllabus after considering the dates of MST’s/Extra Co-curricular activities etc. Ist SCR: 50% 2nd SCR: 100% Reason for not covering the syllabus as planed. How to conduct classes: ( The period break-up suggested is as follows) : 1. 2. 3. 2-3 minutes on review of previous lesson/topic/ discussion 2-3 minutes for attendance 45 minutes for actual teaching that will include the following two important stages: (a) Broad overview of what the teacher will teach today (b) What he/she expects the students to learn. 4. 2-3 minutes for summarizing the lesson/topic covered and giving homework assignments. 5. 2-3 minutes for students’ evaluation/assessment/feedback. Tutorial Plan: Tutorial activities to be conducted by the teachers in their respective classes include the following: (a) Overall Tutorial Plan: (Pls. mention approx. how many of each of the following activities will be taken up in the tutorials) TIME FRAME 1. Presentations/ Seminar 1 lecture 1 2. Group Discussions/ Case Studies 1 1 lecture 3. Class Tests 2 1 lecture 4. Doubt Clearing Sessions 3 1lecture 5. Quiz Tests/ two way discussion 6. Others (Please Specify) 3 1 lecture Uni. Papers Discussions (b) Tutorial Strategy: How do you plan to conduct each of the above mentioned activities i.e. the system for allocation of topics to students, preparation time, evaluation etc. wherever applicable. S.NOCase Title Topic covered to case Source (Book/magazine ,page no./ web site) Practice Mo of (P)/Graded Conduct (G) (Presentation/ Discussion/ written Report /Video/ Case) 1. 2. 3. 4. 5. 6. 7. 1. CASE STUDIES PLANNED : No of Case Studies: 2. EXTENSION LECTURES PLANNNED S.NO 1. 2. 3. TOPIC When (Tentatively) Resource person( if you can suggest) 3. VISITS required (industry, seminar, conference, outside, library, lab) S.NO Type of visit When (Tentatively) Resource person( if you can suggest) 1. 2. 3. Note : Please liaison with T.P.O. before planning the visit in case of industry. 4. MY RESOURCE BANK: S.NO 1 *Additional Text Books Author Publisher Advanced Engineering Mathematics Peter .V.O’.Nil Wordsworth Publishing 2 Kreyszig, .E John wiley 3 Advanced Engineering Mathematics Engineering Mathematics Taneja ,H.C 4 Engineering Mathematics N.P Bali & Dr. Manish Khanna publishers. New Delhi Laxmi Pub. Edition Eighth edition S.NO Standard Reference Book Author Publisher Edition 1 Calculus and Analytic Gemetry Peason Education. Ninth Edition 2 Higher Engineering Mathematics Calculus and Analytic Gemetry Grewal, B.S 3 Advance engineering Mathematics Babu Ram Pearson Education S.NO *Additional Newspaper & Periodicals Publisher (in case of Periodicals) Khanna Publishers 1 2 3 * NOTE: Additional new reference books, journals & news papers must be incorporated to the standard Instruction Plan as the course is being taught in the semester. Date: __________________ Sig. of faculty member:_________________________ Signatory of HOD with Remarks ________________________ Director ______________________ Dean (Academic Affairs) (ACADEMIC AUDIT RECORD/ INSPECTION REPORT) DATE REMARKS SIGNATURE OF DIRECTOR/DEAN/HOD _________________________ (DIRECTOR)
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