EEEN19680 Supplementary Maths ( nee Engineering Mathematics)
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1 EEEN19680 Supplementary Maths ( nee Engineering Mathematics) Fumie Costen E3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan September 21, 2018 Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
2 Time slots First semester Day Building Room Time Thursday SSB D45a 14:00-16:00 Second semester Day Building Room Time Wednesday MSS D12 11:00-13:00 The content of each session is different. Fumie CostenE3, SSB Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
3 Comparison between lectures from Math and ones from EEE Contents for the first semester topic EEEN19680 MATH19681 Vector 5 sessions 5 sessions Coordinate 5 sessions 5 sessions Complex numbers 6 sessions 6 sessions Differentiation 4 sessions 3 sessions Integral 4 sessions 4 sessions Focus in EEEN19680 Acquire the techniques/skills to solve problems Get used to a variety of problems Learn how to write answers = Each session is the practice of the exams! Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
4 Quality and Quantity of materials Level of the questions 1 Supposed to be about 1-2 sessions ahead of MATH From the fundamental level to 1st Class level and beyond 3 Explained well enough for the prerequisite level to understand Volume of the questions 1 Too much to solve all in one session 2 Useful to take a look at even when not dealt with in the lecture Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
5 The handout Online A booklet on the prerequisite information and the key notes for Year 1 mathematics fumie/ Maths/keynoteandquestions.pdf At each lecture Question of the day Answers for all the questions for the day The handouts are all uploaded at fumie/maths/ which is accessible to all Year 1 students and the answers for the 2 sessions in a week are uploaded by the end of the week. Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
6 The structure of each lecture In the lecture 5 mins Explanation of today s key points 10 mins Fumie s demonstration of solutions of today s representative question(s) 25 mins Question and Answer time try out today s questions with the people around you ask us about last session s questions today s questions 10 mins Fumie s demonstration of solutions of the questions which many students find difficult 0 min Distribution of the answers to today s questions Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
7 The structure of each lecture After the lecture 1 Solve the rest of today s questions 1 Plan the procedure to solve the question for 3 minutes 2 Write down the procedure you produced. Only if you are confident on your procedure, keep solving the question. 3 Read worked-out answers provided, comparing with your procedure 2 Identify the problems you faced in the answers 3 List them up to take with you and ask us at the next session 4 Repeat plan the procedure and read answers till you can build the correct plan Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
8 Others Expected attitude during the session: Listen to Fumie ideally without taking any notes Taking photos/videos of the white board is better than copying down from the white board because it is quicker than copying down from the whiteboard by hand saves you from mis-copying down gives you opportunities to deepen your friendship by sharing photos/videos with your colleagues to concentrate Fumie s demonstrations Don t worry about asking us any/many/the same questions. We are happy to answer any of your questions. Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
9 Others Attendance At each session, we take your signature Four successive absences or four absences in one semester will trigger the School to take an action on you Drop a line to fumie.costen@manchester.ac.uk prior to lectures if you have problems to attend Illness? Visa issue? Not accepted excuse: busy for other modules course work down to your time-management Those who are not chosen for this module you are more than welcome to attend the session. Just let us know who you are by dropping a line to fumie.costen@manchester.ac.uk. please do not add your name on the attendance sheet. Just pass it to the person next to you. Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
10 Contents for the first semester week 1,2 Vector addition, position vector (VecD1) 1 Vector Scalar and Vector Vector product (VecD2) Vector equation 2 Vector (VecD3) Vector equation Vector (VecD4) Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
11 Contents for the first semester week 3,4 Vector equation 3 Vector (VecD5) Coordinate, polar coordinate (CorD1) Coordinate 4 Polar equation (CorD2) Coordinate Sketch of polar equation Coordinate (CorD3) Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
12 Contents for the first semester week 5,6 Application of polar 5 coordinate (CorD4) 3D Cylindrical and Coordinate Spherical coordinate Coordinate (CorD5) Complex number, 6 modulus form (complexd1) Complex number Complex number equations(complexd2) Complex number Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
13 Contents for the first semester week 7,8 Complex number manipulation (complexd3) 7 Complex number Complex number manipulation (complexd4) Complex number cosh, sinh, (complexd5) 8 Complex number sin(h),cos(h) (complexd6) Complex number Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
14 Contents for the first semester week 9,10 Differentiation, chain 9 Differentiation rule (diffd1) Differentiation of parametric functions(diffd2) Differentiation Implicit differentiation(diffd3) 10 Differentiation Newton-Raphson,limit Integral (diffd4) Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
15 Contents for the first semester week 11,12 Ordinary differentiation 11 Integral (intd1) Integral by substitution Integral (intd2) Integral of polynomial 12 Integral fraction (intd3) Integral of polynomial (intd4)? Fumie CostenE3, SSB Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
16 Contents for the second semester week 1,2 Application of integration(intd1tion 1 Application of integra- Application of integration(intd2tion Application of integra- 2 Series (taylord1) Application of integration 1D Taylor (taylord2) Application of integration Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
17 Contents for the second semester week 3,4 Multivariable differentiation(diffd1) 3 1D taylor series Multivariable differentiation(diffd2) 1D taylor series 4 multivariable differentiation Gradient(diffD3) Multidimentional integration(intd3) multivariable differentiation Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
18 Contents for the second semester week 5,6 Multidimensional integration(intd4) 5 Gradient Multidimentional Line integral(intd5) gration 6 Line integral(intd6) line integral Line integral(intd7) 2D Taylor series inte- Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
19 Contents for the second semester week 7,8 2D Taylor series(taylord2) 7 2D taylor series 2D Taylor series(taylord3) 2D local minimum and 8 maximum 2D local minimum and 2D local minimum and maximum(diffd4) maximum 1st order ODE(odeD1) 1st order ODE Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN19680 / 21Sup
20 Contents for the second semester week 9,10 9 1st order ODE(odeD2) 1st order ODE 2nd order ODE(odeD3) 1st order ODE 10 2nd order ODE(odeD4) 2nd order ODE revision on gradient, directional derivative(diffd5) 2D order ODE Fumie CostenE3, SSB fumie.costen@manchester.ac.uk Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
21 Contents for the second semester week 11,12 revision on line integral(intd8ical interpretation Mathematical and phys- 11 revision on taylor series(taylord5ical interpretation Mathematical and phys- revision on 2D local 12 revision? min and max(diffd6) revision on revision? ODE(odeD5) Fumie CostenE3, SSB Lab demonstrators: Crystal and Loukas and Afnan () EEEN / 21Sup
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