-
Notifications
You must be signed in to change notification settings - Fork 2
/
index.html
478 lines (344 loc) · 13.2 KB
/
index.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<meta name="description" content="Physics Matlab, doing Physics with Matlab">
<meta name="keywords" content="Physics, Matlab, Doing Physics with Matlab, Quantum Physics">
<meta name="keywords" content="Computational Physics, Matlab Physics, Physics Matlab, Quantum Mechanics">
<meta name="keywords" content="Hydrogen atom, Schrodinger Equation, Selection Rules, Hodgkin-Huxley">
<meta name="author" content="Ian Cooper">
<style> .s1
{
font-family:Calibri;
font-size:20px;
font-weight:10;
width: 960px;
color: black;
background-color: white;
align: left;}
</style>
<style> .s2
{
font-family:tahoma;
font-size:30px;
font-weight:700;
width: 960px;
color: blue;
background-color: white;
align: center;}
</style>
<style> .s3
{
font-family:Calibri;
font-size:20px;
font-weight:600;
width: 960px;
color: blue;
background-color: white;
align: center;}
</style>
<style>p {text-indent:50px;}</style>
<style> .s4
color : black;
/* unvisited link */
/*a:link {
color: #000000;
}*/
/* visited link */
a:visited {
color: #000000;
}
/* mouse over link */
a:hover {
color: #FF00FF;
background-color: #ffd9d9;
}
/* selected link */
a:active {
color: #0000FF;
}
a {text-decoration: none;
color: #000000}
</style>
</head>
<body>
<div class = "s2">
<img src = "Image1.gif" align = "left" />
<p> ADVANCED SCHOOL MATHEMATICS</p>
</div>
<br><br><br>
<h3>          IAN COOPER</h3>
<p>Please email me any comments, corrections or suggestions</p>
<p>email: [email protected]</p>
<p>Many thanks to <b>Dharam Arora</b> for transferring files from physics.usyd.edu.au/teach_res/... to GitHub</p>
<br><br><br>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s1">
<ul>
<li>
<a class = "s4" href="aboutT.pdf" target = "blank" > ABOUT</a>
</li><br>
<li>
<a class = "s4" href="https://d-arora.github.io/Doing-Physics-With-Matlab/" target = "blank" > DOING PHYSICS WITH MATLAB</a>
</li><br>
<li>
<a class = "s4" href="https://d-arora.github.io/VisualPhysics/" target = "blank" > VISUAL PHYSICS ONLINE </a>
</li></ul><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/math_trig.pdf" target = "blank" >Trigonometry and Geometry</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/dydx.pdf" target = "blank" >Differentiation</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>PROBABILITY THEORY</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/m3_03.htm" target = "blank" >Probability</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/m3u_17.pdf" target = "blank" >Binomial Theorem</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/m3u_18.pdf" target = "blank" >Permutations, Combinations and Probability</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>GRAPH THEORY</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/graphs_01.pdf" target = "blank" >Graphs and Linear Functions</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/graphs_02.pdf" target = "blank" >Ellipses and Circles</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/sim_poly.pdf" target = "blank" >Online Activity: Graphing Polynomial Functions</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/graphs_04.pdf" target = "blank" >Hyperbola, Exponential, Logarithmic, Power Functions</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/graphs_05.pdf" target = "blank" >Trigonometric Functions</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/graphs_06.pdf" target = "blank" >Slope of a curve, Maxima and Minima</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/graphs_07.pdf" target = "blank" >Sketching Functions</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/graphs_08.pdf" target = "blank" >Problem solving using graphs and inequality relationships</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/Ex_Graphs.pdf" target = "blank" >Exercises: Problems and Solutions</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>COMPLEX NUMBERS</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/complex_001.pdf" target = "blank" >Characteristics of Complex Numbers</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/complex_002.pdf" target = "blank" >Arithmetical Operations with Complex Numbers</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/complex_003.pdf" target = "blank" >Powers and Roots of Complex Numbers</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/complex_004.pdf" target = "blank" >Curves and Regions</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/Ex_Complex.pdf" target = "blank" >Exercises: Problems and Solutions</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>CONICS</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/conics_01.pdf" target = "blank" >Ellipse</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/conics_02.pdf" target = "blank" >Hyperbola</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/conics_03.pdf" target = "blank" >Rectangular Hyperbola</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/conics_04.pdf" target = "blank" >Parabola</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/conics_05.pdf" target = "blank" >Conics Sections</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/Ex_Conics.pdf" target = "blank" >Exercises: Problems and Solutions</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>INTEGRATION</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/int_01.pdf" target = "blank" >Indefinite Integrals</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/int_02.pdf" target = "blank" >Definite Integrals</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/int_03.pdf" target = "blank" >Methods of Integration: Substitutions</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/int_04.pdf" target = "blank" >Methods of Integration: Algebraic Manipulations</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/int_05.pdf" target = "blank" >Methods of Integration: Integration by Parts</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/Ex_Int.pdf" target = "blank" >Exercises: Problems and Solutions</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>VOLUMES</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/vol5_01.pdf" target = "blank" >Area Under Curves</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/vol5_02.pdf" target = "blank" >Volumes based upon Cross Sections</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/volD.pdf" target = "blank" >Disk Method</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/volCS.pdf" target = "blank" >Cylindrical Shell Method</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/Ex_Vol.pdf" target = "blank" >Exercises: Problems and Solutions</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>MECHANICS</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://d-arora.github.io/VisualPhysics/mod1.htm" target = "blank" >Kinematics</a>
</li><br>
<li>
<a class = "s4" href="https://d-arora.github.io/VisualPhysics/mod2.htm" target = "blank" >Dynamics</a>
</li><br>
<li>
<a class = "s4" href="https://d-arora.github.io/VisualPhysics/mod5new.htm" target = "blank" >Advanced Mechanics</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/mec63.pdf" target = "blank" >Simple Harmonic Motion</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/mec64.pdf" target = "blank" >Resisted Motion in Horizontal Direction</a>
</li><br>
<li>
<a class = "s4" href="https://d-arora.github.io/Doing-Physics-With-Matlab/mpDocs/mec_friction_1.pdf" target = "blank" >Horizontal Motion with Resistance: drag and viscous drag forces</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/mec65.pdf" target = "blank" >Resisted Motion in Vertical Direction</a>
</li><br>
<li>
<a class = "s4" href="https://d-arora.github.io/Doing-Physics-With-Matlab/mpDocs/mec_friction_2.pdf" target = "blank" >Analytical and Numerical Analysis of Vertical Motion with Resistance: drag and viscous drag force, falling, drag coefficient</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/mec66.pdf" target = "blank" >Circular Motion</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/mec661.pdf" target = "blank" >Circular Motion and Complex Numbers</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/mec67.pdf" target = "blank" >Motion Around a Banked Curve</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/mec68.pdf" target = "blank" >Conical Pendulum</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/Ex_Mec.pdf" target = "blank" >Exercises: Problems and Solutions</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>POLYNOMIALS</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/poly_01.pdf" target = "blank" >Introduction to Functions and Polynomials</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/poly_02.pdf" target = "blank" >Long Division of Polynomials</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/poly_03.pdf" target = "blank" >Roots of Polynomials</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/poly_04.pdf" target = "blank" >Roots: Half-interval Method and Newton's Method</a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/poly_05.pdf" target = "blank" >Fundamental Theorem of Algebra, Complex Numbers and Multiple Roots </a>
</li><br>
<li>
<a class = "s4" href="https://ian888cooper.github.io/advschoolmaths/Ex_Poly.pdf" target = "blank" >Exercises: Problems and Solutions</a>
</li><br>
</div>
<HR SIZE="3" COLOR="purple" WIDTH="96%">
<div class = "s3">
<p>LINKS</p>
</div>
<div class = "s1">
<ul>
<li>
<a class = "s4" href="https://educationstandards.nsw.edu.au/wps/portal/nesa/11-12/stage-6-learning-areas/stage-6-mathematics" target = "blank" >NSW Education Standards Authority</a>
</li><br>
<li>
<a class = "s4" href="https://www.wolframalpha.com/" target = "blank" >WOLFRAM ALPHA: Computational engine for checking your mathematics</a>
</li><br>
<li>
<a class = "s4" href="http://www.mathtutor.ac.uk/" target = "blank" >MATHTUTOR: Help yourself - an excellent online maths tutor</a>
</li><br>
<li>
<a class = "s4" href="https://math.libretexts.org/" target = "blank" >Libre Texts</a>
</li><br>
</div>
<br><br><br><br>
<div>
<!-- hitwebcounter Code START -->
<a href="https://www.hitwebcounter.com" target="_blank">
<img src="https://hitwebcounter.com/counter/counter.php?page=7653947&style=0006&nbdigits=6&type=page&initCount=9999" title="Free Stats for webpages" Alt="hitwebcounter" border="0" >
</a>
</div>
<div>
<script type="text/javascript" src="//counter.websiteout.com/js/7/8/50000/0"></script>
</div>
<br><br><br><br>
</body>
</html>