��ߌ&�Ew1^s/�4�iuDz���xgN���R?�w�3�ѱ�p �3@V&@%�BfmX�)[Cô�~�laf�匟 However, These notes will contain most of the material covered in class, and be distributed before each lecture (hopefully). �G�)pm��[RL�J�x�Z���/wi�a␀eYs To download the Google Chrome browser, click HERE. Lecture notes by Pisto des are available for download at In organizing this lecture note, I am indebted by Cedar Crest College Calculus IV Lecture Notes, Dr. … ���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 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. ���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$2����*�R���x�{LT�i��s�fׅ�V���b���`��h==>At����>]"8�����7P���P��'��gA����d��r����|hw�?�x��|#Ac34���Ѻ9�Y^�=�)@��2���?6|~�;K�oS���MEN�*,"h ��Hꓼ��D~G :��`Fd�j�r���2��. Solutions are posted on courseworks (resources page) after the due date. Lecture Notes: Instructions: Date Topics Assignments Reading; Jan 19 Introduction Notes: PDF Jan 21 ... Notes: PDF Marsden: § 8.6 Apr 29 Differential Forms, cont'd Complex Calculus Exam 3 Due Marsden: § 8.6 May 4 … The dates by some of the lectures … x��Yo7���)��[`Yr�5ҢEz%zs��ȉ�"��&�o��^�:+ٍ-Y��0�����?C�2�V&}������������������¶-���jS}��V+kud�j�vѽn���*�����ũ:�I�'���ucu�hY�T[ �e[� �g5j��עq}-�W/k��'�o�d d�Hd˳�Z��?�DBe�˔Z4}����@j��H��|Tuڙ�Q���5#�1=�d�z�J�:��"��!k-���d���vi���i'̞��ie������mk(�����Z �iQ���u����C0�Z>_,�:Uϓ�A������.��%(H��j�gk�Jz* zD��Y��r�N���B8���?�M�����!.���]w#d�V� ��ߥ��dd���rLe�����l�*?-ڞ�b�#�i�����HǶ�OI@��t��u$����梀:ڻ�� %fH� !����&ju�jA˻A��d��H\�z\����N��,�~���͊���/�_9N���)�?I0! You may "challenge" any grade you receive. They are mostly in Adobe pdf format. Vector Functions (Chapter 13), and Partial Derivatives (Chapter 14). 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. Lectures | <> 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. If your work is handwritten, please only use a pencil or a black/blue pen. an introduction to differential calculus, integral calculus, algebra, differential equa- tions and statistics, providing sound mathematical foundations for further studies not only in mathematics and statistics, … A few of these lectures are PowerPoint presentations. Students who take this course are expected to already know single-variable differential and integral calculus to the level of an introductory college calculus … Final: covers all the material with emphasis on the 2nd half of the course. you must contact the TA within three days of the grade release date. Lectures. 24 0 obj %PDF-1.3 Lectures with an N after the lecture number have been rewritten to reference the TI-nspire graphing calculator. The graph of y = fx() is below. 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). (4)Xenou (1995): \Algebra B", Ekdoseis ZHTH. All problems are from the textbook. The following are lectures for Calculus III - Multivariable. %�쏢 If you are unable to attend class on time, I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from an Algebra or Trig class or contained in other sections of the notes. General Information | Please attach the cover page to your submitted hw (and staple the pages!). 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 ).