Sample problems and exam solutions will be posted on courseworks. Some of these lectures reference the TI-89 graphing calculator. A few of these lectures are PowerPoint presentations. If you are unable to attend class on time, The topics covered in the class include: Vectors and the Geometry of Space (Chapter 12), All problems are from the textbook. • Be prepared to work with function and variable names other than f and x. x�uUMs5�ﯘ�T�u�>Z� Midterm: covers material from the first three weeks. Lecture Notes: Instructions: The dates by some of the lectures are the date of the most recent revision. 23 0 obj Problem Sets: On both exams you are allowed to have one two-sided notes sheet. you must contact the TA within three days of the grade release date. Clicking on a link will take you to Google Docs. fx()= 3, or fx() 3 as x 1. �G�)pm��[RL�J�x�Z���/wi�a␀eYs If you are unable to download the files using Internet Explorer, you may need to install the Google Chrome browser. However, The dates by some of the lectures … Final: covers all the material with emphasis on the 2nd half of the course. 1", , Ekdoseis ZHTH. endobj <> ��ߌ&�Ew1^s/�4�iuDz���xgN���R?�w�3�ѱ�p �3@V&@%�BfmX�)[Cô�~�laf�匟 scan and send your HW by email to the TA. Notes: Some of these lectures reference the TI-89 graphing calculator. Lectures | Lectures with an N after the lecture number have been rewritten to reference the TI-nspire 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 … General Information | All HWs are due in class by 6:15pm. 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 stream Solutions are posted on courseworks (resources page) after the due date. %PDF-1.3 Contact the instructor if you are unable to reolve the issue with the TA. Please attach the cover page to your submitted hw (and staple the pages!). In organizing this lecture note, I am indebted by Cedar Crest College Calculus IV Lecture Notes, Dr. … These notes will contain most of the material covered in class, and be distributed before each lecture (hopefully). 37 0 obj 24 0 obj Imagine that the … ���ZJ�{MJ/Է�،ƅRh���k�[}������ҭ��8���:��XH��q�9��m�1�Ib��M-��x��N-���jQ���S���q{��1��L0C�>�����bd
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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$2����*�R���x�{LT�i��s�fׅ�V���b���`��h==>At����>]"8�����7P���P��'��gA����d��r����|hw�?�x��|#Ac34���Ѻ9�Y^�=�)@��2���?6|~�;K�oS���MEN�*,"h ��Hꓼ��D~G :��`Fd�j�r���2��. Lectures with an N after the lecture number have been rewritten to reference the TI-nspire graphing calculator. Since the course is an experimental one and the notes written before the lectures are … Students who take this course are expected to already know single-variable differential and integral calculus to the level of an introductory college calculus … To download, either click on "Download" if you see that option, or click on "File" and then "Download Original" if you see that option. 886 Lecture notes by Pisto des are available for download at %�쏢 To view them on an iPad, download the free SlideShark application from iTunes. ���gp�U��f�"�ɝ͖2+�ɤQ��G���^�P*5+��$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 Lecture Notes: Week 0: Brief Review Readings: Calculus 1 review Week 1: Notes Readings: Chapters 12.1 - 12.4 Week 2: Notes <> The graph of y = fx() is below. To download the Google Chrome browser, click HERE. Calculus I or needing a refresher in some of the early topics in calculus. They are mostly in Adobe pdf format. Vector Functions (Chapter 13), and Partial Derivatives (Chapter 14). If your work is handwritten, please only use a pencil or a black/blue pen. x��Yo7���)��[`Yr�5ҢEz%zs��ȉ�"��&�o��^�:+ٍ-Y��0�����?C�2�V&}������������������¶-���jS}��V+kud�j�vѽn���*�����ũ:�I�'���ucu�hY�T[
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�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! This lecture note is closely following the part of multivariable calculus in Stewart’s book [7]. In these lectures we shall develop the calculus of scalar elds and vector elds. 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.