Lectures The topics covered in the class include: Vectors and the Geometry of Space (Chapter 12), Vector Functions (Chapter 13), and Partial Derivatives (Chapter 14). Homework | fx()= 3, or fx() 3 as x 1. <> Notes on Google Docs: You should be able do view these files on Google Docs or download them. Figure 1: An example of the … x��Yo7���)��[`Yr�5ҢEz%zs��ȉ�"��&�o��^�:+ٍ-Y��0�����?C�2�V&}������������������¶-���jS}��V+kud�j�vѽn���*�����ũ:�I�'���ucu�hY�T[ �e[� �g5j��עq}-�W/k��'�o�d d�Hd˳�Z��?�DBe�˔Z4}����@j��H��|Tuڙ�Q���5#�1=�d�z�J�:��"��!k-���d���vi���i'̞��ie������mk(�����Z �iQ���u����C0�Z>_,�:Uϓ�A������.��%(H��j�gk�Jz* zD��Y��r�N���B8���?�M�����!.���]w#d�V� ��ߥ��dd���rLe�����l�*?-ڞ�b�#�i�����HǶ�OI@��t��u$����梀:ڻ�� %fH� !����&ju�jA˻A��d��H\�z\����N��,�~���͊���/�_9N���)�?I0! Problem Sets: On both exams you are allowed to have one two-sided notes sheet. Homework = 20%, Midterm = 40%, Final = 40%. A few of these lectures are PowerPoint presentations. 23 0 obj They are mostly in Adobe pdf format. If to each point rin some region of space there corresponds a scalar ˚(x 1 ;x 2 ;x 3 ), then ˚(r) is a scalar eld: ˚is a function of the three Cartesian position coordinates (x 1 ;x 2 ;x 3 ). Lecture Notes: Week 0: Brief Review Readings: Calculus 1 review Week 1: Notes Readings: Chapters 12.1 - 12.4 Week 2: Notes Exams | Please attach the cover page to your submitted hw (and staple the pages!). Calculus I or needing a refresher in some of the early topics in calculus. endobj Lecture Notes: Instructions: To download, either click on "Download" if you see that option, or click on "File" and then "Download Original" if you see that option. General Information | �G�)pm��[RL�J�x�Z���/wi�a␀eYs The topics covered in the class include: Vectors and the Geometry of Space (Chapter 12), ���gp�U��f�"�ɝ͖2+�ɤQ��G���^�P*5+��$rP�s�t>� *�+ouQ�҆!�-:��D��}{�v_���jNc��S��%�Y8��b�hV���T䊒���*Od��5a@��kS���VN�-���5hy��v���^pT������̒0E����MQAY� �Ȣo�]+@���nO���g��#S�p?zFk&k�3:{wc��Z��VD��A���uY�����J�ě�㭭����4���Qkjd �����FGA���I�5��l���.��n��b띸��8�L�j�^~k[�eY`LJD���/ IOٵ�U@zo���˕�4����ރ��h�B��)�"� &m;\C���9F�ŗ��m�"]ѭ�^��eU��e+Y���|i��B�Z-a�C��m�m��H�:N��l�֡G|Ώ�9�ˑz_?������endstream you must contact the TA within three days of the grade release date. 24 0 obj %PDF-1.3 886 stream To view them on an iPad, download the free SlideShark application from iTunes. To download the Google Chrome browser, click HERE. stream Vector Functions (Chapter 13), and Partial Derivatives (Chapter 14). Grading. Final: covers all the material with emphasis on the 2nd half of the course. The graph of y = fx() is below. The dates by some of the lectures … Notes: Some of these lectures reference the TI-89 graphing calculator. Date Topics Assignments Reading; Jan 19 Introduction Notes: PDF Jan 21 ... Notes: PDF Marsden: § 8.6 Apr 29 Differential Forms, cont'd Complex Calculus Exam 3 Due Marsden: § 8.6 May 4 … Some of these lectures reference the TI-89 graphing calculator. If you are unable to attend class on time, These are the lecture notes for my online Coursera course,Vector Calculus for Engineers. (3)Xenou (1994): \Algebra and Analytic Geometry. These notes will contain most of the material covered in class, and be distributed before each lecture (hopefully). Midterm: covers material from the first three weeks. • Be prepared to work with function and variable names other than f and x. 1", , Ekdoseis ZHTH. Imagine that the … endobj Clicking on a link will take you to Google Docs. Lectures | All HWs are due in class by 6:15pm. In organizing this lecture note, I am indebted by Cedar Crest College Calculus IV Lecture Notes, Dr. … x�uUMs5�ﯘ�T�u�>Z� If your work is handwritten, please only use a pencil or a black/blue pen. H6'���C�W��ʿ�4f�����hZ����K�h�������_q^��q9�s}�p���l�����Ѵ��1�����a�����KQ�����g��SЖ���~�������X5���s�rqW&�ª��ak.�T�}?XY���R�{�/Y���W�1D����5Rl����[���!3���ێi(ս�0Z�$�A^O�nv�o'�݄�� S����a�jn��R"q�H�ޕ/{i��o��9�rB��`�9�v'vwzS�f��־^2��Z8.MCB��}M�Ӊ�N�F�N�&w��g/�.�M�䓘D�Z��,��8]����� Sk�J�l��`'X��g� R %�쏢 In these lectures we shall develop the calculus of scalar elds and vector elds. Lectures with an N after the lecture number have been rewritten to reference the TI-nspire graphing calculator. For example, if gt()= 3t2 +t 1, then lim t 1 gt()= 3, also. ��ߌ&�Ew1^s/�4�iuDz���xgN���R?�w�3�ѱ�p �3@V&@%�BfmX�)[Cô�~�laf�匟 You may "challenge" any grade you receive. Math 324: Advanced Multivariable Calculus Notes Samantha Fairchild integral by Z b a f(x)dx= lim n!1 Xn i=1 f(x i) x Where x iis the size of the ith interval and x i is in the ith interval. 37 0 obj scan and send your HW by email to the TA. ���ZJ�{MJ/Է�،ƅRh���k�[}������ҭ��8���:��XH��q�9��m�1�Ib��M-��x��N-���jQ���S���q{��1��L0C�>�����bd r ު�þ�C J�YxJ���E�%�h�1���J)`�8u���Y�6ފmYS зӪ# (':c\�������e�N�h�Ӕ9ψܻ�:�V@��#�x�����6�������V���HZ�-�W*��j&���37��1���Sȼ��E[c�1M)�X�m�]A1L��0���J$2����*�R���x�{LT�i��s�fׅ�V���b���`��h==>At����>]"8�����7P���P��'��gA����d��r����|hw�?�x��|#Ac34���Ѻ9�Y^�=�)@��2���?6|~�;K�oS���MEN�*,"h ��Hꓼ��D~G :��`Fd�j�r���2��. 11.01 Parametric Equations 11.01N 8/25/14, 11.02b Area and Arc Length of Parametric Curves, 11.02c Parametric Curves and Surface Area, 11.04 Areas and Lengths in Polar Coordinates, 11.06b Polar Equations of Conics 11.06bN 9/15/14, 12.01a Sequences Part 1 (PowerPoint) 12.1aN 7/1/13, 12.02 Series (PowerPoint) VIDEO YOUTUBE 2/22/16, 12.03 The Integral Test and Estimates of Sums, 12.05 Alternating Series 10/5/12 12.05N 10/3/14, 12.06 Absolute Convergence and Root Tests (PowerPoint), 12.09 Representations of Functions as Power Series, 12.10a Taylor Series (PowerPoint) 12.10aN 10/21/14, 12.10b Taylor's Theorem - Error Analysis for Series (PowerPoint), 12.10d Multiplication and Division of Power Series 12.10dN, 12.11a Applications of Taylor Series 10/26/12, 13.01 Three-Dimensional Coordinate Systems, Cross and Dot Products on the TI-89 (handout), 13.04b Triple Products, Torque, Vectors & Determinants on the TI-nspire (PowerPoint) 11/17/13, 13.06 Cylinders and Quadric Surfaces 11/23/15, 14.01b Using Computers to Draw Space Curves (PowerPoint) 7/1/13 VIDEO YouTube 12/2/13, 14.02 Derivatives and Integrals of Vector Functions, 14.03c Normal and Binormal Curves 14.03c N 12/11/14, 14.04a Motion in Space: Velocity and Acceleration, 14.04b Tangential and Normal Components of Acceleration 12/27/12, 15.01 Functions of Several Variables (PowerPoint) 15.01N 11/24/13, 15.04 Tangent Planes and Linear Approximations, 15.06a Directional Derivatives and Gradient Vectors, 16.03 Double Integrals Over General Regions, 16.04 Double Integrals in Polar Coordinates, 16.05 Applications of Double Integrals 2/24/16, 16.07 Triple Integrals in Cylindrical Coordinates (PowerPoint) 2/22/13, 16.08 Triple Integrals in Spherical Coordinates, 17.03 The Fundamental Theorem for Line Integrals 4/16/13, 18.01 Second-Order Linear Differential Equations, 18.02 Nonhomogeneous Linear Differential Equations, 12.10d Multiplication and Division of Power Series, 13.04b Triple Products, Torque, Vectors & Determinants on the TI-nspire (PowerPoint, 14.01b Using Computers to Draw Space Curves (PowerPoint), 14.04b Tangential and Normal Components of Acceleration, 15.01 Functions of Several Variables (PowerPoint), 16.07 Triple Integrals in Cylindrical Coordinates (PowerPoint), 17.03 The Fundamental Theorem for Line Integrals.